diff --git a/test/integration/fixtures/blocks/core__cover.html b/test/integration/fixtures/blocks/core__cover.html
index 5c69931dd22691..e60cc1b4311d0f 100644
--- a/test/integration/fixtures/blocks/core__cover.html
+++ b/test/integration/fixtures/blocks/core__cover.html
@@ -1,8 +1,8 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","dimRatio":40} -->
-<div class="wp-block-cover">
-    <span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span>
-    <img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover" />
-    <div class="wp-block-cover__inner-container">
+<div class="wp-block-cover has-no-zindex-in-inner-blocks">
+	<img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover" />
+	<span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span>
+	<div class="wp-block-cover__inner-container">
 		<!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 		<p class="has-text-align-center has-large-font-size">
 			Guten Berg!
diff --git a/test/integration/fixtures/blocks/core__cover.parsed.json b/test/integration/fixtures/blocks/core__cover.parsed.json
index 4df6d84c29cef2..41c41a8b0f3e5f 100644
--- a/test/integration/fixtures/blocks/core__cover.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover.parsed.json
@@ -20,9 +20,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover\">\n    <span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"></span>\n    <img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\" />\n    <div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\" />\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover\">\n    <span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"></span>\n    <img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\" />\n    <div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\" />\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover.serialized.html b/test/integration/fixtures/blocks/core__cover.serialized.html
index b7eeb8cf4b85d8..8533de7667b4ff 100644
--- a/test/integration/fixtures/blocks/core__cover.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","dimRatio":40} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span><img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">
 			Guten Berg!
 		</p>
diff --git a/test/integration/fixtures/blocks/core__cover__alt-fixed-background.html b/test/integration/fixtures/blocks/core__cover__alt-fixed-background.html
index 7c8aaa5a7ccbc6..045cee934e060b 100644
--- a/test/integration/fixtures/blocks/core__cover__alt-fixed-background.html
+++ b/test/integration/fixtures/blocks/core__cover__alt-fixed-background.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"https://w.wiki/59So","id":612,"alt":"Custom alt text","hasParallax":true,"dimRatio":50,"isDark":false,"layout":{"type":"constrained"}} -->
-<div class="wp-block-cover is-light has-parallax"><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><div role="img" aria-label="Custom alt text" class="wp-block-cover__image-background wp-image-612 has-parallax" style="background-position:50% 50%;background-image:url(https://w.wiki/59So)"></div><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-parallax has-no-zindex-in-inner-blocks"><div role="img" aria-label="Custom alt text" class="wp-block-cover__image-background wp-image-612 has-parallax" style="background-position:50% 50%;background-image:url(https://w.wiki/59So)"></div><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
\ No newline at end of file
diff --git a/test/integration/fixtures/blocks/core__cover__alt-fixed-background.parsed.json b/test/integration/fixtures/blocks/core__cover__alt-fixed-background.parsed.json
index 9de6f5b24fe0d0..cbb139cf37b2b9 100644
--- a/test/integration/fixtures/blocks/core__cover__alt-fixed-background.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__alt-fixed-background.parsed.json
@@ -27,9 +27,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover is-light has-parallax\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"></span><div role=\"img\" aria-label=\"Custom alt text\" class=\"wp-block-cover__image-background wp-image-612 has-parallax\" style=\"background-position:50% 50%;background-image:url(https://w.wiki/59So)\"></div><div class=\"wp-block-cover__inner-container\"></div></div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover is-light has-parallax has-no-zindex-in-inner-blocks\"><div role=\"img\" aria-label=\"Custom alt text\" class=\"wp-block-cover__image-background wp-image-612 has-parallax\" style=\"background-position:50% 50%;background-image:url(https://w.wiki/59So)\"></div><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"></span><div class=\"wp-block-cover__inner-container\"></div></div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover is-light has-parallax\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"></span><div role=\"img\" aria-label=\"Custom alt text\" class=\"wp-block-cover__image-background wp-image-612 has-parallax\" style=\"background-position:50% 50%;background-image:url(https://w.wiki/59So)\"></div><div class=\"wp-block-cover__inner-container\">",
+			"\n<div class=\"wp-block-cover is-light has-parallax has-no-zindex-in-inner-blocks\"><div role=\"img\" aria-label=\"Custom alt text\" class=\"wp-block-cover__image-background wp-image-612 has-parallax\" style=\"background-position:50% 50%;background-image:url(https://w.wiki/59So)\"></div><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"></span><div class=\"wp-block-cover__inner-container\">",
 			null,
 			"</div></div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__alt-fixed-background.serialized.html b/test/integration/fixtures/blocks/core__cover__alt-fixed-background.serialized.html
index 438eba81614c4a..a54ae5b8e1befd 100644
--- a/test/integration/fixtures/blocks/core__cover__alt-fixed-background.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__alt-fixed-background.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"https://w.wiki/59So","id":612,"alt":"Custom alt text","hasParallax":true,"dimRatio":50,"isDark":false,"layout":{"type":"constrained"}} -->
-<div class="wp-block-cover is-light has-parallax"><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><div role="img" aria-label="Custom alt text" class="wp-block-cover__image-background wp-image-612 has-parallax" style="background-position:50% 50%;background-image:url(https://w.wiki/59So)"></div><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-parallax has-no-zindex-in-inner-blocks"><div role="img" aria-label="Custom alt text" class="wp-block-cover__image-background wp-image-612 has-parallax" style="background-position:50% 50%;background-image:url(https://w.wiki/59So)"></div><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-1.html b/test/integration/fixtures/blocks/core__cover__deprecated-1.html
index 6eab178d72268d..5d7b3867b31cbf 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-1.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-1.html
@@ -1,3 +1,3 @@
 <!-- wp:cover-image {"url":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==","id":34} -->
-<section class="wp-block-cover-image has-background-dim" style="background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)"><h2><strong>Cover Image</strong></h2></section>
+<section class="wp-block-cover-image has-background-dim has-no-zindex-in-inner-blocks" style="background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)"><h2><strong>Cover Image</strong></h2></section>
 <!-- /wp:cover-image -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-1.parsed.json b/test/integration/fixtures/blocks/core__cover__deprecated-1.parsed.json
index 602e6dde96c93f..fb5f26e1f9f1ea 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-1.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-1.parsed.json
@@ -6,9 +6,9 @@
 			"id": 34
 		},
 		"innerBlocks": [],
-		"innerHTML": "\n<section class=\"wp-block-cover-image has-background-dim\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><h2><strong>Cover Image</strong></h2></section>\n",
+		"innerHTML": "\n<section class=\"wp-block-cover-image has-background-dim has-no-zindex-in-inner-blocks\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><h2><strong>Cover Image</strong></h2></section>\n",
 		"innerContent": [
-			"\n<section class=\"wp-block-cover-image has-background-dim\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><h2><strong>Cover Image</strong></h2></section>\n"
+			"\n<section class=\"wp-block-cover-image has-background-dim has-no-zindex-in-inner-blocks\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><h2><strong>Cover Image</strong></h2></section>\n"
 		]
 	}
 ]
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-1.serialized.html b/test/integration/fixtures/blocks/core__cover__deprecated-1.serialized.html
index 0a535e66bff5b4..c7649a9b9a161c 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-1.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-1.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==","id":34,"dimRatio":50} -->
-<div class="wp-block-cover is-light"><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><img class="wp-block-cover__image-background wp-image-34" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background wp-image-34" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==" data-object-fit="cover"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"><strong>Cover Image</strong></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-10.html b/test/integration/fixtures/blocks/core__cover__deprecated-10.html
index 48eef6a6a3d9de..0e914564d24780 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-10.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-10.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"https://w.wiki/59Sd","id":609,"dimRatio":50} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><img class="wp-block-cover__image-background wp-image-609" alt="" src="https://w.wiki/59Sd" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><img class="wp-block-cover__image-background wp-image-609" alt="" src="https://w.wiki/59Sd" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 	<p class="has-text-align-center has-large-font-size"></p>
 	<!-- /wp:paragraph --></div></div>
-	<!-- /wp:cover -->
\ No newline at end of file
+	<!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-10.parsed.json b/test/integration/fixtures/blocks/core__cover__deprecated-10.parsed.json
index 3d9e9100d214a8..e6e8a8c1fc0547 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-10.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-10.parsed.json
@@ -21,9 +21,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"></span><img class=\"wp-block-cover__image-background wp-image-609\" alt=\"\" src=\"https://w.wiki/59Sd\" data-object-fit=\"cover\"/><div class=\"wp-block-cover__inner-container\"></div></div>\n\t",
+		"innerHTML": "\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"></span><img class=\"wp-block-cover__image-background wp-image-609\" alt=\"\" src=\"https://w.wiki/59Sd\" data-object-fit=\"cover\"/><div class=\"wp-block-cover__inner-container\"></div></div>\n\t",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"></span><img class=\"wp-block-cover__image-background wp-image-609\" alt=\"\" src=\"https://w.wiki/59Sd\" data-object-fit=\"cover\"/><div class=\"wp-block-cover__inner-container\">",
+			"\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\"></span><img class=\"wp-block-cover__image-background wp-image-609\" alt=\"\" src=\"https://w.wiki/59Sd\" data-object-fit=\"cover\"/><div class=\"wp-block-cover__inner-container\">",
 			null,
 			"</div></div>\n\t"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-10.serialized.html b/test/integration/fixtures/blocks/core__cover__deprecated-10.serialized.html
index d48a8b8e983945..b36857b68da61e 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-10.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-10.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"https://w.wiki/59Sd","id":609,"dimRatio":50} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><img class="wp-block-cover__image-background wp-image-609" alt="" src="https://w.wiki/59Sd" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background wp-image-609" alt="" src="https://w.wiki/59Sd" data-object-fit="cover"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-12.html b/test/integration/fixtures/blocks/core__cover__deprecated-12.html
index 1ae933aed80105..4aeac20130414b 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-12.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-12.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"useFeaturedImage":true,"dimRatio":50,"customOverlayColor":"#3615d9","layout":{"type":"constrained"}} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-background-dim" style="background-color:#3615d9"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><span aria-hidden="true" class="wp-block-cover__background has-background-dim" style="background-color:#3615d9"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 	<p class="has-text-align-center has-large-font-size"></p>
 	<!-- /wp:paragraph --></div></div>
-	<!-- /wp:cover -->
\ No newline at end of file
+	<!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-12.parsed.json b/test/integration/fixtures/blocks/core__cover__deprecated-12.parsed.json
index f4e2e302cf52e7..6727a8179bf4c8 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-12.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-12.parsed.json
@@ -24,9 +24,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\" style=\"background-color:#3615d9\"></span><div class=\"wp-block-cover__inner-container\"></div></div>\n\t",
+		"innerHTML": "\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\" style=\"background-color:#3615d9\"></span><div class=\"wp-block-cover__inner-container\"></div></div>\n\t",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\" style=\"background-color:#3615d9\"></span><div class=\"wp-block-cover__inner-container\">",
+			"\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\" style=\"background-color:#3615d9\"></span><div class=\"wp-block-cover__inner-container\">",
 			null,
 			"</div></div>\n\t"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-12.serialized.html b/test/integration/fixtures/blocks/core__cover__deprecated-12.serialized.html
index d51734e18a5418..43b06f7cf6519b 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-12.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-12.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"useFeaturedImage":true,"dimRatio":50,"customOverlayColor":"#3615d9","isUserOverlayColor":true,"layout":{"type":"constrained"}} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-background-dim" style="background-color:#3615d9"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><span aria-hidden="true" class="wp-block-cover__background has-background-dim" style="background-color:#3615d9"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-2.html b/test/integration/fixtures/blocks/core__cover__deprecated-2.html
index efbb570a741902..af076a082e0246 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-2.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-2.html
@@ -1,3 +1,4 @@
 <!-- wp:cover-image {"url":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==","id":34} -->
-<div class="wp-block-cover-image has-background-dim" style="background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)"><p class="wp-block-cover-image-text"><strong>Cover Block</strong></p></div>
+<div class="wp-block-cover-image has-background-dim has-no-zindex-in-inner-blocks" style="background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)"><p class="wp-block-cover-image-text"><strong>Cover Block</strong></p></div>
 <!-- /wp:cover-image -->
+
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-2.parsed.json b/test/integration/fixtures/blocks/core__cover__deprecated-2.parsed.json
index a9c4f6dc32b17b..9f7cc32af232c7 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-2.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-2.parsed.json
@@ -6,9 +6,9 @@
 			"id": 34
 		},
 		"innerBlocks": [],
-		"innerHTML": "\n<div class=\"wp-block-cover-image has-background-dim\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><p class=\"wp-block-cover-image-text\"><strong>Cover Block</strong></p></div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover-image has-background-dim has-no-zindex-in-inner-blocks\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><p class=\"wp-block-cover-image-text\"><strong>Cover Block</strong></p></div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover-image has-background-dim\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><p class=\"wp-block-cover-image-text\"><strong>Cover Block</strong></p></div>\n"
+			"\n<div class=\"wp-block-cover-image has-background-dim has-no-zindex-in-inner-blocks\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><p class=\"wp-block-cover-image-text\"><strong>Cover Block</strong></p></div>\n"
 		]
 	}
 ]
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-2.serialized.html b/test/integration/fixtures/blocks/core__cover__deprecated-2.serialized.html
index 361eb663bf1f62..b9c71938457a68 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-2.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-2.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==","id":34,"dimRatio":50} -->
-<div class="wp-block-cover is-light"><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><img class="wp-block-cover__image-background wp-image-34" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background wp-image-34" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==" data-object-fit="cover"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"><strong>Cover Block</strong></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-3.html b/test/integration/fixtures/blocks/core__cover__deprecated-3.html
index 1867ebcc9f60f9..77a20c75873d10 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-3.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-3.html
@@ -1,3 +1,4 @@
 <!-- wp:cover {"url":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==","id":35} -->
-<div class="wp-block-cover has-background-dim" style="background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)"><p class="wp-block-cover-text"><strong>Cover Block</strong></p></div>
+<div class="wp-block-cover has-background-dim has-no-zindex-in-inner-blocks" style="background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)"><p class="wp-block-cover-text"><strong>Cover Block</strong></p></div>
 <!-- /wp:cover -->
+
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-3.parsed.json b/test/integration/fixtures/blocks/core__cover__deprecated-3.parsed.json
index b11319c27eb6cf..26fca5b7c6bb50 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-3.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-3.parsed.json
@@ -6,9 +6,9 @@
 			"id": 35
 		},
 		"innerBlocks": [],
-		"innerHTML": "\n<div class=\"wp-block-cover has-background-dim\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><p class=\"wp-block-cover-text\"><strong>Cover Block</strong></p></div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-background-dim has-no-zindex-in-inner-blocks\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><p class=\"wp-block-cover-text\"><strong>Cover Block</strong></p></div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover has-background-dim\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><p class=\"wp-block-cover-text\"><strong>Cover Block</strong></p></div>\n"
+			"\n<div class=\"wp-block-cover has-background-dim has-no-zindex-in-inner-blocks\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==)\"><p class=\"wp-block-cover-text\"><strong>Cover Block</strong></p></div>\n"
 		]
 	}
 ]
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-3.serialized.html b/test/integration/fixtures/blocks/core__cover__deprecated-3.serialized.html
index c1cd5a78fbee56..b7e4932f2553a5 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-3.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-3.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==","id":35,"dimRatio":50} -->
-<div class="wp-block-cover is-light"><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><img class="wp-block-cover__image-background wp-image-35" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background wp-image-35" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==" data-object-fit="cover"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"><strong>Cover Block</strong></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-4.html b/test/integration/fixtures/blocks/core__cover__deprecated-4.html
index ab86f0ebdcdde9..121e6faed7efe4 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-4.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-4.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==","id":35,"focalPoint":{"x":"0.07","y":"0.07"}} -->
-<div class="wp-block-cover has-background-dim" style="background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==);background-position:7.000000000000001% 7.000000000000001%">
+<div class="wp-block-cover has-background-dim has-no-zindex-in-inner-blocks" style="background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==);background-position:7.000000000000001% 7.000000000000001%">
 	<div class="wp-block-cover__inner-container">
 		<!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 		<p class="has-text-align-center has-large-font-size"><strong>Cover Block</strong></p>
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-4.parsed.json b/test/integration/fixtures/blocks/core__cover__deprecated-4.parsed.json
index c54574b339d9f4..93aeef8be7e811 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-4.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-4.parsed.json
@@ -24,9 +24,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover has-background-dim\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==);background-position:7.000000000000001% 7.000000000000001%\">\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-background-dim has-no-zindex-in-inner-blocks\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==);background-position:7.000000000000001% 7.000000000000001%\">\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover has-background-dim\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==);background-position:7.000000000000001% 7.000000000000001%\">\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover has-background-dim has-no-zindex-in-inner-blocks\" style=\"background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==);background-position:7.000000000000001% 7.000000000000001%\">\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-4.serialized.html b/test/integration/fixtures/blocks/core__cover__deprecated-4.serialized.html
index be37f15331a564..a86154dbcfe0a2 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-4.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-4.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==","id":35,"dimRatio":50,"focalPoint":{"x":"0.07","y":"0.07"}} -->
-<div class="wp-block-cover is-light"><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><img class="wp-block-cover__image-background wp-image-35" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==" style="object-position:7% 7%" data-object-fit="cover" data-object-position="7% 7%"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background wp-image-35" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAACklEQVR4nGMAAQAABQABDQottAAAAABJRU5ErkJggg==" style="object-position:7% 7%" data-object-fit="cover" data-object-position="7% 7%"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"><strong>Cover Block</strong></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-5.html b/test/integration/fixtures/blocks/core__cover__deprecated-5.html
index 5d0cea3342537c..73d61061ceb358 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-5.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-5.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","gradient":"midnight"} -->
-<div class="wp-block-cover has-background-dim"
+<div class="wp-block-cover has-background-dim has-no-zindex-in-inner-blocks"
 	style="background-image:url(data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=)">
 	<span aria-hidden="true" class="wp-block-cover__gradient-background has-midnight-gradient-background"></span>
 	<div class="wp-block-cover__inner-container">
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-5.parsed.json b/test/integration/fixtures/blocks/core__cover__deprecated-5.parsed.json
index 1adbfc8c4a1e00..9b5a02c9f54e70 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-5.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-5.parsed.json
@@ -20,9 +20,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover has-background-dim\"\n\tstyle=\"background-image:url(data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=)\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__gradient-background has-midnight-gradient-background\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-background-dim has-no-zindex-in-inner-blocks\"\n\tstyle=\"background-image:url(data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=)\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__gradient-background has-midnight-gradient-background\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover has-background-dim\"\n\tstyle=\"background-image:url(data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=)\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__gradient-background has-midnight-gradient-background\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover has-background-dim has-no-zindex-in-inner-blocks\"\n\tstyle=\"background-image:url(data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=)\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__gradient-background has-midnight-gradient-background\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-5.serialized.html b/test/integration/fixtures/blocks/core__cover__deprecated-5.serialized.html
index 2d9a20ba12791e..54274b7ea10d32 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-5.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-5.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","dimRatio":50,"gradient":"midnight"} -->
-<div class="wp-block-cover is-light"><span aria-hidden="true" class="wp-block-cover__background has-background-dim wp-block-cover__gradient-background has-background-gradient has-midnight-gradient-background"></span><img class="wp-block-cover__image-background" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim wp-block-cover__gradient-background has-background-gradient has-midnight-gradient-background"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">Cover</p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-6.html b/test/integration/fixtures/blocks/core__cover__deprecated-6.html
index 3d36466465768a..6cc8e7a11d6ab0 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-6.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-6.html
@@ -1,6 +1,6 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","dimRatio":40} -->
 <div
-	class="wp-block-cover has-background-dim-40 has-background-dim"
+	class="wp-block-cover has-background-dim-40 has-background-dim has-no-zindex-in-inner-blocks"
 	style="background-image:url(data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=)"
 >
 	<div class="wp-block-cover__inner-container">
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-6.parsed.json b/test/integration/fixtures/blocks/core__cover__deprecated-6.parsed.json
index 4bd1dffccd83f8..8597e51032a013 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-6.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-6.parsed.json
@@ -20,9 +20,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div\n\tclass=\"wp-block-cover has-background-dim-40 has-background-dim\"\n\tstyle=\"background-image:url(data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=)\"\n>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div\n\tclass=\"wp-block-cover has-background-dim-40 has-background-dim has-no-zindex-in-inner-blocks\"\n\tstyle=\"background-image:url(data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=)\"\n>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div\n\tclass=\"wp-block-cover has-background-dim-40 has-background-dim\"\n\tstyle=\"background-image:url(data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=)\"\n>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div\n\tclass=\"wp-block-cover has-background-dim-40 has-background-dim has-no-zindex-in-inner-blocks\"\n\tstyle=\"background-image:url(data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=)\"\n>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-6.serialized.html b/test/integration/fixtures/blocks/core__cover__deprecated-6.serialized.html
index 657c10cc928964..6549b90708dd67 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-6.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-6.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","dimRatio":40} -->
-<div class="wp-block-cover is-light"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span><img class="wp-block-cover__image-background" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">
 			Guten Berg!
 		</p>
@@ -7,13 +7,13 @@
 <!-- /wp:cover -->
 
 <!-- wp:cover {"url":"https://example.com/some-background-image.png","id":1933,"dimRatio":0,"focalPoint":{"x":"0.50","y":"0.40"},"minHeight":48,"minHeightUnit":"vw","align":"full"} -->
-<div class="wp-block-cover alignfull is-light" style="min-height:48vw"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-0 has-background-dim"></span><img class="wp-block-cover__image-background wp-image-1933" src="https://example.com/some-background-image.png" style="object-position:50% 40%" data-object-fit="cover" data-object-position="50% 40%"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph -->
+<div class="wp-block-cover alignfull is-light has-no-zindex-in-inner-blocks" style="min-height:48vw"><img class="wp-block-cover__image-background wp-image-1933" src="https://example.com/some-background-image.png" style="object-position:50% 40%" data-object-fit="cover" data-object-position="50% 40%"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim-0 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph -->
 <p></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
 
 <!-- wp:cover {"url":"http://localhost:8888/wp-content/uploads/2021/02/percy.jpg","id":134,"dimRatio":50,"contentPosition":"bottom right"} -->
-<div class="wp-block-cover is-light has-custom-content-position is-position-bottom-right"><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><img class="wp-block-cover__image-background wp-image-134" alt="" src="http://localhost:8888/wp-content/uploads/2021/02/percy.jpg" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-custom-content-position is-position-bottom-right has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background wp-image-134" alt="" src="http://localhost:8888/wp-content/uploads/2021/02/percy.jpg" data-object-fit="cover"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">test</p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-7.html b/test/integration/fixtures/blocks/core__cover__deprecated-7.html
index 6483b44fb3923c..edff6d450d809c 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-7.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-7.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","dimRatio":40} -->
-<div class="wp-block-cover has-background-dim-40 has-background-dim">
+<div class="wp-block-cover has-background-dim-40 has-background-dim has-no-zindex-in-inner-blocks">
 	<img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover" />
 	<div class="wp-block-cover__inner-container">
 		<!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-7.parsed.json b/test/integration/fixtures/blocks/core__cover__deprecated-7.parsed.json
index f286f061a76c7a..877280961e2591 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-7.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-7.parsed.json
@@ -20,9 +20,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover has-background-dim-40 has-background-dim\">\n\t<img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\" />\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-background-dim-40 has-background-dim has-no-zindex-in-inner-blocks\">\n\t<img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\" />\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover has-background-dim-40 has-background-dim\">\n\t<img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\" />\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover has-background-dim-40 has-background-dim has-no-zindex-in-inner-blocks\">\n\t<img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\" />\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-7.serialized.html b/test/integration/fixtures/blocks/core__cover__deprecated-7.serialized.html
index baa8e32e7e8238..d94bb2c1fe4df9 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-7.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-7.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","dimRatio":40} -->
-<div class="wp-block-cover is-light"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span><img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">
 			Guten Berg!
 		</p>
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-8.html b/test/integration/fixtures/blocks/core__cover__deprecated-8.html
index 8da6a870594839..2bb82286868b0a 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-8.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-8.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","dimRatio":40} -->
-<div class="wp-block-cover">
+<div class="wp-block-cover has-no-zindex-in-inner-blocks">
     <span aria-hidden="true" class="has-background-dim-40 wp-block-cover__gradient-background has-background-dim"></span>
     <img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/>
     <div class="wp-block-cover__inner-container">
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-8.parsed.json b/test/integration/fixtures/blocks/core__cover__deprecated-8.parsed.json
index f90273321b52bb..1d39d1786eff93 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-8.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-8.parsed.json
@@ -20,9 +20,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover\">\n    <span aria-hidden=\"true\" class=\"has-background-dim-40 wp-block-cover__gradient-background has-background-dim\"></span>\n    <img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\"/>\n    <div class=\"wp-block-cover__inner-container\">\n        \n    </div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n    <span aria-hidden=\"true\" class=\"has-background-dim-40 wp-block-cover__gradient-background has-background-dim\"></span>\n    <img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\"/>\n    <div class=\"wp-block-cover__inner-container\">\n        \n    </div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover\">\n    <span aria-hidden=\"true\" class=\"has-background-dim-40 wp-block-cover__gradient-background has-background-dim\"></span>\n    <img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\"/>\n    <div class=\"wp-block-cover__inner-container\">\n        ",
+			"\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n    <span aria-hidden=\"true\" class=\"has-background-dim-40 wp-block-cover__gradient-background has-background-dim\"></span>\n    <img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\"/>\n    <div class=\"wp-block-cover__inner-container\">\n        ",
 			null,
 			"\n    </div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-8.serialized.html b/test/integration/fixtures/blocks/core__cover__deprecated-8.serialized.html
index fd99791a8e5247..f34d7c34688c7f 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-8.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-8.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","dimRatio":40} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span><img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">
                 Guten Berg!
         </p>
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-9.html b/test/integration/fixtures/blocks/core__cover__deprecated-9.html
index cdb9efff4f3678..9a070a0fe8c75b 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-9.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-9.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"overlayColor":"primary","minHeightUnit":"%"} -->
-<div class="wp-block-cover" style="min-height:undefined%">
+<div class="wp-block-cover has-no-zindex-in-inner-blocks" style="min-height:undefined%">
 	<span aria-hidden="true" class="wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim"></span>
 	<div class="wp-block-cover__inner-container">
 		<!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-9.parsed.json b/test/integration/fixtures/blocks/core__cover__deprecated-9.parsed.json
index e9a52634d828f1..500dc820f7802e 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-9.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-9.parsed.json
@@ -20,9 +20,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover\" style=\"min-height:undefined%\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\" style=\"min-height:undefined%\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover\" style=\"min-height:undefined%\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\" style=\"min-height:undefined%\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__deprecated-9.serialized.html b/test/integration/fixtures/blocks/core__cover__deprecated-9.serialized.html
index 8b47c4651e8826..bc0174bac59d26 100644
--- a/test/integration/fixtures/blocks/core__cover__deprecated-9.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__deprecated-9.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"overlayColor":"primary","minHeightUnit":"%"} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><span aria-hidden="true" class="wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.html b/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.html
index 8c77b25cf33fc5..4e88ff9b3bd934 100644
--- a/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.html
+++ b/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"https://w.wiki/59So","id":612,"hasParallax":true,"isRepeated":true,"dimRatio":10,"isDark":false,"style":{"color":{"duotone":["#8c00b7","#fcff41"]}}} -->
-<div class="wp-block-cover is-light has-parallax is-repeated"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-10 has-background-dim"></span><div class="wp-block-cover__image-background wp-image-612 has-parallax is-repeated" style="background-position:50% 50%;background-image:url(https://w.wiki/59So)"></div><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-parallax is-repeated has-no-zindex-in-inner-blocks"><div class="wp-block-cover__image-background wp-image-612 has-parallax is-repeated" style="background-position:50% 50%;background-image:url(https://w.wiki/59So)"></div><span aria-hidden="true" class="wp-block-cover__background has-background-dim-10 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
     <p class="has-text-align-center has-large-font-size"></p>
     <!-- /wp:paragraph --></div></div>
     <!-- /wp:cover -->
\ No newline at end of file
diff --git a/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.parsed.json b/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.parsed.json
index 22ae61f6258ef7..06b6b9a503dfe3 100644
--- a/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.parsed.json
@@ -29,9 +29,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover is-light has-parallax is-repeated\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-10 has-background-dim\"></span><div class=\"wp-block-cover__image-background wp-image-612 has-parallax is-repeated\" style=\"background-position:50% 50%;background-image:url(https://w.wiki/59So)\"></div><div class=\"wp-block-cover__inner-container\"></div></div>\n    ",
+		"innerHTML": "\n<div class=\"wp-block-cover is-light has-parallax is-repeated has-no-zindex-in-inner-blocks\"><div class=\"wp-block-cover__image-background wp-image-612 has-parallax is-repeated\" style=\"background-position:50% 50%;background-image:url(https://w.wiki/59So)\"></div><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-10 has-background-dim\"></span><div class=\"wp-block-cover__inner-container\"></div></div>\n    ",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover is-light has-parallax is-repeated\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-10 has-background-dim\"></span><div class=\"wp-block-cover__image-background wp-image-612 has-parallax is-repeated\" style=\"background-position:50% 50%;background-image:url(https://w.wiki/59So)\"></div><div class=\"wp-block-cover__inner-container\">",
+			"\n<div class=\"wp-block-cover is-light has-parallax is-repeated has-no-zindex-in-inner-blocks\"><div class=\"wp-block-cover__image-background wp-image-612 has-parallax is-repeated\" style=\"background-position:50% 50%;background-image:url(https://w.wiki/59So)\"></div><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-10 has-background-dim\"></span><div class=\"wp-block-cover__inner-container\">",
 			null,
 			"</div></div>\n    "
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.serialized.html b/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.serialized.html
index e52c3e993dd109..d430f645179a4a 100644
--- a/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__duotone-fixed-background.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"https://w.wiki/59So","id":612,"hasParallax":true,"isRepeated":true,"dimRatio":10,"isDark":false,"style":{"color":{"duotone":["#8c00b7","#fcff41"]}}} -->
-<div class="wp-block-cover is-light has-parallax is-repeated"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-10 has-background-dim"></span><div class="wp-block-cover__image-background wp-image-612 has-parallax is-repeated" style="background-position:50% 50%;background-image:url(https://w.wiki/59So)"></div><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-parallax is-repeated has-no-zindex-in-inner-blocks"><div class="wp-block-cover__image-background wp-image-612 has-parallax is-repeated" style="background-position:50% 50%;background-image:url(https://w.wiki/59So)"></div><span aria-hidden="true" class="wp-block-cover__background has-background-dim-10 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__gradient-custom.html b/test/integration/fixtures/blocks/core__cover__gradient-custom.html
index fd0a8517357857..d940d77ef4a6e0 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient-custom.html
+++ b/test/integration/fixtures/blocks/core__cover__gradient-custom.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"customGradient":"linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%)"} -->
-<div class="wp-block-cover">
+<div class="wp-block-cover has-no-zindex-in-inner-blocks">
 	<span aria-hidden="true" class="wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient" style="background:linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%)"></span>
 	<div class="wp-block-cover__inner-container">
 		<!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
diff --git a/test/integration/fixtures/blocks/core__cover__gradient-custom.parsed.json b/test/integration/fixtures/blocks/core__cover__gradient-custom.parsed.json
index 53f6fc55fb2777..e0c363e487ad1c 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient-custom.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__gradient-custom.parsed.json
@@ -19,9 +19,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient\" style=\"background:linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%)\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient\" style=\"background:linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%)\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient\" style=\"background:linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%)\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient\" style=\"background:linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%)\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__gradient-custom.serialized.html b/test/integration/fixtures/blocks/core__cover__gradient-custom.serialized.html
index a6ea10215b7a1b..3691143bb3189e 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient-custom.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__gradient-custom.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"customGradient":"linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%)"} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient" style="background:linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%)"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient" style="background:linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%)"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">Cover!</p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__gradient-image.html b/test/integration/fixtures/blocks/core__cover__gradient-image.html
index dba861ef5bf3f3..9ef10ad9ce8d37 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient-image.html
+++ b/test/integration/fixtures/blocks/core__cover__gradient-image.html
@@ -1,7 +1,7 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","dimRatio":30,"customGradient":"linear-gradient(135deg,rgba(0,208,132,1) 0%,rgba(6,147,227,1) 100%)"} -->
-<div class="wp-block-cover">
-    <span aria-hidden="true" class="wp-block-cover__background has-background-dim-30 has-background-dim wp-block-cover__gradient-background has-background-gradient" style="background:linear-gradient(135deg,rgba(0,208,132,1) 0%,rgba(6,147,227,1) 100%)"></span>
-    <img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/>
+<div class="wp-block-cover has-no-zindex-in-inner-blocks">
+	<img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/>
+	<span aria-hidden="true" class="wp-block-cover__background has-background-dim-30 has-background-dim wp-block-cover__gradient-background has-background-gradient" style="background:linear-gradient(135deg,rgba(0,208,132,1) 0%,rgba(6,147,227,1) 100%)"></span>
 	<div class="wp-block-cover__inner-container">
 		<!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 		<p class="has-text-align-center has-large-font-size"> Cover! </p>
diff --git a/test/integration/fixtures/blocks/core__cover__gradient-image.parsed.json b/test/integration/fixtures/blocks/core__cover__gradient-image.parsed.json
index e5e97653e27459..fadaa741dce0a0 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient-image.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__gradient-image.parsed.json
@@ -21,9 +21,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover\">\n    <span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-30 has-background-dim wp-block-cover__gradient-background has-background-gradient\" style=\"background:linear-gradient(135deg,rgba(0,208,132,1) 0%,rgba(6,147,227,1) 100%)\"></span>\n    <img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\"/>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\"/>\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-30 has-background-dim wp-block-cover__gradient-background has-background-gradient\" style=\"background:linear-gradient(135deg,rgba(0,208,132,1) 0%,rgba(6,147,227,1) 100%)\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover\">\n    <span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-30 has-background-dim wp-block-cover__gradient-background has-background-gradient\" style=\"background:linear-gradient(135deg,rgba(0,208,132,1) 0%,rgba(6,147,227,1) 100%)\"></span>\n    <img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\"/>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<img class=\"wp-block-cover__image-background\" alt=\"\" src=\"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=\" data-object-fit=\"cover\"/>\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-30 has-background-dim wp-block-cover__gradient-background has-background-gradient\" style=\"background:linear-gradient(135deg,rgba(0,208,132,1) 0%,rgba(6,147,227,1) 100%)\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__gradient-image.serialized.html b/test/integration/fixtures/blocks/core__cover__gradient-image.serialized.html
index 135949383f712c..2d63d5c1bac5b8 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient-image.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__gradient-image.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=","dimRatio":30,"customGradient":"linear-gradient(135deg,rgba(0,208,132,1) 0%,rgba(6,147,227,1) 100%)"} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-30 has-background-dim wp-block-cover__gradient-background has-background-gradient" style="background:linear-gradient(135deg,rgba(0,208,132,1) 0%,rgba(6,147,227,1) 100%)"></span><img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><img class="wp-block-cover__image-background" alt="" src="data:image/jpeg;base64,/9j/2wBDAAMCAgICAgMCAgIDAwMDBAYEBAQEBAgGBgUGCQgKCgkICQkKDA8MCgsOCwkJDRENDg8QEBEQCgwSExIQEw8QEBD/yQALCAABAAEBAREA/8wABgAQEAX/2gAIAQEAAD8A0s8g/9k=" data-object-fit="cover"/><span aria-hidden="true" class="wp-block-cover__background has-background-dim-30 has-background-dim wp-block-cover__gradient-background has-background-gradient" style="background:linear-gradient(135deg,rgba(0,208,132,1) 0%,rgba(6,147,227,1) 100%)"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"> Cover! </p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__gradient-video.html b/test/integration/fixtures/blocks/core__cover__gradient-video.html
index 1081afe2518b3a..67bdc90d48aa24 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient-video.html
+++ b/test/integration/fixtures/blocks/core__cover__gradient-video.html
@@ -1,7 +1,7 @@
 <!-- wp:cover {"url":"data:video/mp4;base64,AAAAHGZ0eXBpc29tAAACAGlzb21pc28ybXA0MQAAAAhmcmVlAAAC721kYXQhEAUgpBv/wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA3pwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAcCEQBSCkG//AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADengAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAcAAAAsJtb292AAAAbG12aGQAAAAAAAAAAAAAAAAAAAPoAAAALwABAAABAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAAAB7HRyYWsAAABcdGtoZAAAAAMAAAAAAAAAAAAAAAIAAAAAAAAALwAAAAAAAAAAAAAAAQEAAAAAAQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAACRlZHRzAAAAHGVsc3QAAAAAAAAAAQAAAC8AAAAAAAEAAAAAAWRtZGlhAAAAIG1kaGQAAAAAAAAAAAAAAAAAAKxEAAAIAFXEAAAAAAAtaGRscgAAAAAAAAAAc291bgAAAAAAAAAAAAAAAFNvdW5kSGFuZGxlcgAAAAEPbWluZgAAABBzbWhkAAAAAAAAAAAAAAAkZGluZgAAABxkcmVmAAAAAAAAAAEAAAAMdXJsIAAAAAEAAADTc3RibAAAAGdzdHNkAAAAAAAAAAEAAABXbXA0YQAAAAAAAAABAAAAAAAAAAAAAgAQAAAAAKxEAAAAAAAzZXNkcwAAAAADgICAIgACAASAgIAUQBUAAAAAAfQAAAHz+QWAgIACEhAGgICAAQIAAAAYc3R0cwAAAAAAAAABAAAAAgAABAAAAAAcc3RzYwAAAAAAAAABAAAAAQAAAAIAAAABAAAAHHN0c3oAAAAAAAAAAAAAAAIAAAFzAAABdAAAABRzdGNvAAAAAAAAAAEAAAAsAAAAYnVkdGEAAABabWV0YQAAAAAAAAAhaGRscgAAAAAAAAAAbWRpcmFwcGwAAAAAAAAAAAAAAAAtaWxzdAAAACWpdG9vAAAAHWRhdGEAAAABAAAAAExhdmY1Ni40MC4xMDE=","dimRatio":70,"backgroundType":"video","customGradient":"linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%)"} -->
-<div class="wp-block-cover">
-	<span aria-hidden="true" class="wp-block-cover__background has-background-dim-70 has-background-dim wp-block-cover__gradient-background has-background-gradient" style="background:linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%)"></span>
+<div class="wp-block-cover has-no-zindex-in-inner-blocks">
 	<video class="wp-block-cover__video-background intrinsic-ignore" autoplay muted loop playsinline src="data:video/mp4;base64,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" data-object-fit="cover"></video>
+	<span aria-hidden="true" class="wp-block-cover__background has-background-dim-70 has-background-dim wp-block-cover__gradient-background has-background-gradient" style="background:linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%)"></span>
 	<div class="wp-block-cover__inner-container">
 		<!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 		<p class="has-text-align-center has-large-font-size">Cover!</p>
diff --git a/test/integration/fixtures/blocks/core__cover__gradient-video.parsed.json b/test/integration/fixtures/blocks/core__cover__gradient-video.parsed.json
index 8ad72c9c549b24..6dee9aeec1d154 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient-video.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__gradient-video.parsed.json
@@ -22,9 +22,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-70 has-background-dim wp-block-cover__gradient-background has-background-gradient\" style=\"background:linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%)\"></span>\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,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\" data-object-fit=\"cover\"></video>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,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\" data-object-fit=\"cover\"></video>\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-70 has-background-dim wp-block-cover__gradient-background has-background-gradient\" style=\"background:linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%)\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-70 has-background-dim wp-block-cover__gradient-background has-background-gradient\" style=\"background:linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%)\"></span>\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,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\" data-object-fit=\"cover\"></video>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,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\" data-object-fit=\"cover\"></video>\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-70 has-background-dim wp-block-cover__gradient-background has-background-gradient\" style=\"background:linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%)\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__gradient-video.serialized.html b/test/integration/fixtures/blocks/core__cover__gradient-video.serialized.html
index 417d8666481dcd..920b15d5042eab 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient-video.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__gradient-video.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:video/mp4;base64,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","dimRatio":70,"backgroundType":"video","customGradient":"linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%)"} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-70 has-background-dim wp-block-cover__gradient-background has-background-gradient" style="background:linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%)"></span><video class="wp-block-cover__video-background intrinsic-ignore" autoplay muted loop playsinline src="data:video/mp4;base64,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" data-object-fit="cover"></video><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><video class="wp-block-cover__video-background intrinsic-ignore" autoplay muted loop playsinline src="data:video/mp4;base64,AAAAHGZ0eXBpc29tAAACAGlzb21pc28ybXA0MQAAAAhmcmVlAAAC721kYXQhEAUgpBv/wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA3pwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAcCEQBSCkG//AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADengAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAcAAAAsJtb292AAAAbG12aGQAAAAAAAAAAAAAAAAAAAPoAAAALwABAAABAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAAAB7HRyYWsAAABcdGtoZAAAAAMAAAAAAAAAAAAAAAIAAAAAAAAALwAAAAAAAAAAAAAAAQEAAAAAAQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAACRlZHRzAAAAHGVsc3QAAAAAAAAAAQAAAC8AAAAAAAEAAAAAAWRtZGlhAAAAIG1kaGQAAAAAAAAAAAAAAAAAAKxEAAAIAFXEAAAAAAAtaGRscgAAAAAAAAAAc291bgAAAAAAAAAAAAAAAFNvdW5kSGFuZGxlcgAAAAEPbWluZgAAABBzbWhkAAAAAAAAAAAAAAAkZGluZgAAABxkcmVmAAAAAAAAAAEAAAAMdXJsIAAAAAEAAADTc3RibAAAAGdzdHNkAAAAAAAAAAEAAABXbXA0YQAAAAAAAAABAAAAAAAAAAAAAgAQAAAAAKxEAAAAAAAzZXNkcwAAAAADgICAIgACAASAgIAUQBUAAAAAAfQAAAHz+QWAgIACEhAGgICAAQIAAAAYc3R0cwAAAAAAAAABAAAAAgAABAAAAAAcc3RzYwAAAAAAAAABAAAAAQAAAAIAAAABAAAAHHN0c3oAAAAAAAAAAAAAAAIAAAFzAAABdAAAABRzdGNvAAAAAAAAAAEAAAAsAAAAYnVkdGEAAABabWV0YQAAAAAAAAAhaGRscgAAAAAAAAAAbWRpcmFwcGwAAAAAAAAAAAAAAAAtaWxzdAAAACWpdG9vAAAAHWRhdGEAAAABAAAAAExhdmY1Ni40MC4xMDE=" data-object-fit="cover"></video><span aria-hidden="true" class="wp-block-cover__background has-background-dim-70 has-background-dim wp-block-cover__gradient-background has-background-gradient" style="background:linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%)"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">Cover!</p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__gradient.html b/test/integration/fixtures/blocks/core__cover__gradient.html
index 7b20b808c461c3..d60d11f86dbb1c 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient.html
+++ b/test/integration/fixtures/blocks/core__cover__gradient.html
@@ -1,6 +1,6 @@
 <!-- wp:cover {"gradient":"luminous-dusk","isDark":false} -->
-<div class="wp-block-cover is-light">
-    <span aria-hidden="true" class="wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient has-luminous-dusk-gradient-background"></span>
+<div class="wp-block-cover is-light has-no-zindex-in-inner-blocks">
+	<span aria-hidden="true" class="wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient has-luminous-dusk-gradient-background"></span>
 	<div class="wp-block-cover__inner-container">
 		<!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 		<p class="has-text-align-center has-large-font-size">Cover!</p>
diff --git a/test/integration/fixtures/blocks/core__cover__gradient.parsed.json b/test/integration/fixtures/blocks/core__cover__gradient.parsed.json
index d6f084f048d856..3eeedd84af43a8 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__gradient.parsed.json
@@ -20,9 +20,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover is-light\">\n    <span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient has-luminous-dusk-gradient-background\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover is-light has-no-zindex-in-inner-blocks\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient has-luminous-dusk-gradient-background\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover is-light\">\n    <span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient has-luminous-dusk-gradient-background\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover is-light has-no-zindex-in-inner-blocks\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient has-luminous-dusk-gradient-background\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__gradient.serialized.html b/test/integration/fixtures/blocks/core__cover__gradient.serialized.html
index 12f535f03d091a..3e7b9093055fa6 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__gradient.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"gradient":"luminous-dusk","isDark":false} -->
-<div class="wp-block-cover is-light"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient has-luminous-dusk-gradient-background"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-no-zindex-in-inner-blocks"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient has-luminous-dusk-gradient-background"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">Cover!</p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__gradient__deprecated-8.serialized.html b/test/integration/fixtures/blocks/core__cover__gradient__deprecated-8.serialized.html
index 9dbf400bcff0d8..b00248ffc005f3 100644
--- a/test/integration/fixtures/blocks/core__cover__gradient__deprecated-8.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__gradient__deprecated-8.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"gradient":"electric-grass","isDark":false} -->
-<div class="wp-block-cover is-light"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient has-electric-grass-gradient-background"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover is-light has-no-zindex-in-inner-blocks"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient has-electric-grass-gradient-background"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">Cover!</p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__solid-color.html b/test/integration/fixtures/blocks/core__cover__solid-color.html
index 2b280936af63be..5207ce7494d8b0 100644
--- a/test/integration/fixtures/blocks/core__cover__solid-color.html
+++ b/test/integration/fixtures/blocks/core__cover__solid-color.html
@@ -1,6 +1,6 @@
 <!-- wp:cover {"overlayColor":"primary"} -->
-<div class="wp-block-cover">
-    <span aria-hidden="true" class="wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim"></span>
+<div class="wp-block-cover has-no-zindex-in-inner-blocks">
+	<span aria-hidden="true" class="wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim"></span>
 	<div class="wp-block-cover__inner-container">
 		<!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 		<p class="has-text-align-center has-large-font-size"></p>
diff --git a/test/integration/fixtures/blocks/core__cover__solid-color.parsed.json b/test/integration/fixtures/blocks/core__cover__solid-color.parsed.json
index 98e28467d1ab5c..9a2ed4df818030 100644
--- a/test/integration/fixtures/blocks/core__cover__solid-color.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__solid-color.parsed.json
@@ -19,9 +19,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover\">\n    <span aria-hidden=\"true\" class=\"wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover\">\n    <span aria-hidden=\"true\" class=\"wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__solid-color.serialized.html b/test/integration/fixtures/blocks/core__cover__solid-color.serialized.html
index 333fb817b7283f..2472ca80b43af0 100644
--- a/test/integration/fixtures/blocks/core__cover__solid-color.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__solid-color.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"overlayColor":"primary","isUserOverlayColor":true} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><span aria-hidden="true" class="wp-block-cover__background has-primary-background-color has-background-dim-100 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size"></p>
 <!-- /wp:paragraph --></div></div>
 <!-- /wp:cover -->
diff --git a/test/integration/fixtures/blocks/core__cover__video-overlay.html b/test/integration/fixtures/blocks/core__cover__video-overlay.html
index 3d78269821c152..244ffd43878bd9 100644
--- a/test/integration/fixtures/blocks/core__cover__video-overlay.html
+++ b/test/integration/fixtures/blocks/core__cover__video-overlay.html
@@ -1,7 +1,7 @@
 <!-- wp:cover {"url":"data:video/mp4;base64,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","dimRatio":10,"customOverlayColor":"#3615d9","backgroundType":"video"} -->
-<div class="wp-block-cover">
-	<span aria-hidden="true" class="wp-block-cover__background has-background-dim-10 has-background-dim" style="background-color:#3615d9"></span>
+<div class="wp-block-cover has-no-zindex-in-inner-blocks">
 	<video class="wp-block-cover__video-background intrinsic-ignore" autoplay muted loop playsinline src="data:video/mp4;base64,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" data-object-fit="cover"></video>
+	<span aria-hidden="true" class="wp-block-cover__background has-background-dim-10 has-background-dim" style="background-color:#3615d9"></span>
 	<div class="wp-block-cover__inner-container">
 		<!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 		<p class="has-text-align-center has-large-font-size">
diff --git a/test/integration/fixtures/blocks/core__cover__video-overlay.parsed.json b/test/integration/fixtures/blocks/core__cover__video-overlay.parsed.json
index c766000af56727..cf9353def370af 100644
--- a/test/integration/fixtures/blocks/core__cover__video-overlay.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__video-overlay.parsed.json
@@ -22,9 +22,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-10 has-background-dim\" style=\"background-color:#3615d9\"></span>\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,AAAAHGZ0eXBpc29tAAACAGlzb21pc28ybXA0MQAAAAhmcmVlAAAC721kYXQhEAUgpBv/wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA3pwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAcCEQBSCkG//AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADengAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAcAAAAsJtb292AAAAbG12aGQAAAAAAAAAAAAAAAAAAAPoAAAALwABAAABAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAAAB7HRyYWsAAABcdGtoZAAAAAMAAAAAAAAAAAAAAAIAAAAAAAAALwAAAAAAAAAAAAAAAQEAAAAAAQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAACRlZHRzAAAAHGVsc3QAAAAAAAAAAQAAAC8AAAAAAAEAAAAAAWRtZGlhAAAAIG1kaGQAAAAAAAAAAAAAAAAAAKxEAAAIAFXEAAAAAAAtaGRscgAAAAAAAAAAc291bgAAAAAAAAAAAAAAAFNvdW5kSGFuZGxlcgAAAAEPbWluZgAAABBzbWhkAAAAAAAAAAAAAAAkZGluZgAAABxkcmVmAAAAAAAAAAEAAAAMdXJsIAAAAAEAAADTc3RibAAAAGdzdHNkAAAAAAAAAAEAAABXbXA0YQAAAAAAAAABAAAAAAAAAAAAAgAQAAAAAKxEAAAAAAAzZXNkcwAAAAADgICAIgACAASAgIAUQBUAAAAAAfQAAAHz+QWAgIACEhAGgICAAQIAAAAYc3R0cwAAAAAAAAABAAAAAgAABAAAAAAcc3RzYwAAAAAAAAABAAAAAQAAAAIAAAABAAAAHHN0c3oAAAAAAAAAAAAAAAIAAAFzAAABdAAAABRzdGNvAAAAAAAAAAEAAAAsAAAAYnVkdGEAAABabWV0YQAAAAAAAAAhaGRscgAAAAAAAAAAbWRpcmFwcGwAAAAAAAAAAAAAAAAtaWxzdAAAACWpdG9vAAAAHWRhdGEAAAABAAAAAExhdmY1Ni40MC4xMDE=\" data-object-fit=\"cover\"></video>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,AAAAHGZ0eXBpc29tAAACAGlzb21pc28ybXA0MQAAAAhmcmVlAAAC721kYXQhEAUgpBv/wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA3pwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAcCEQBSCkG//AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADengAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAcAAAAsJtb292AAAAbG12aGQAAAAAAAAAAAAAAAAAAAPoAAAALwABAAABAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAAAB7HRyYWsAAABcdGtoZAAAAAMAAAAAAAAAAAAAAAIAAAAAAAAALwAAAAAAAAAAAAAAAQEAAAAAAQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAACRlZHRzAAAAHGVsc3QAAAAAAAAAAQAAAC8AAAAAAAEAAAAAAWRtZGlhAAAAIG1kaGQAAAAAAAAAAAAAAAAAAKxEAAAIAFXEAAAAAAAtaGRscgAAAAAAAAAAc291bgAAAAAAAAAAAAAAAFNvdW5kSGFuZGxlcgAAAAEPbWluZgAAABBzbWhkAAAAAAAAAAAAAAAkZGluZgAAABxkcmVmAAAAAAAAAAEAAAAMdXJsIAAAAAEAAADTc3RibAAAAGdzdHNkAAAAAAAAAAEAAABXbXA0YQAAAAAAAAABAAAAAAAAAAAAAgAQAAAAAKxEAAAAAAAzZXNkcwAAAAADgICAIgACAASAgIAUQBUAAAAAAfQAAAHz+QWAgIACEhAGgICAAQIAAAAYc3R0cwAAAAAAAAABAAAAAgAABAAAAAAcc3RzYwAAAAAAAAABAAAAAQAAAAIAAAABAAAAHHN0c3oAAAAAAAAAAAAAAAIAAAFzAAABdAAAABRzdGNvAAAAAAAAAAEAAAAsAAAAYnVkdGEAAABabWV0YQAAAAAAAAAhaGRscgAAAAAAAAAAbWRpcmFwcGwAAAAAAAAAAAAAAAAtaWxzdAAAACWpdG9vAAAAHWRhdGEAAAABAAAAAExhdmY1Ni40MC4xMDE=\" data-object-fit=\"cover\"></video>\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-10 has-background-dim\" style=\"background-color:#3615d9\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-10 has-background-dim\" style=\"background-color:#3615d9\"></span>\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,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\" data-object-fit=\"cover\"></video>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,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\" data-object-fit=\"cover\"></video>\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-10 has-background-dim\" style=\"background-color:#3615d9\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__video-overlay.serialized.html b/test/integration/fixtures/blocks/core__cover__video-overlay.serialized.html
index 3cbf472fe84c4a..362cb9e7ba1d00 100644
--- a/test/integration/fixtures/blocks/core__cover__video-overlay.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__video-overlay.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:video/mp4;base64,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","dimRatio":10,"customOverlayColor":"#3615d9","isUserOverlayColor":true,"backgroundType":"video"} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-10 has-background-dim" style="background-color:#3615d9"></span><video class="wp-block-cover__video-background intrinsic-ignore" autoplay muted loop playsinline src="data:video/mp4;base64,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" data-object-fit="cover"></video><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><video class="wp-block-cover__video-background intrinsic-ignore" autoplay muted loop playsinline src="data:video/mp4;base64,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" data-object-fit="cover"></video><span aria-hidden="true" class="wp-block-cover__background has-background-dim-10 has-background-dim" style="background-color:#3615d9"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">
 			Guten Berg!
 		</p>
diff --git a/test/integration/fixtures/blocks/core__cover__video.html b/test/integration/fixtures/blocks/core__cover__video.html
index 6dc5bfae8a15e4..0535cb1b326976 100644
--- a/test/integration/fixtures/blocks/core__cover__video.html
+++ b/test/integration/fixtures/blocks/core__cover__video.html
@@ -1,7 +1,7 @@
 <!-- wp:cover {"url":"data:video/mp4;base64,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","dimRatio":40,"backgroundType":"video"} -->
-<div class="wp-block-cover">
-	<span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span>
+<div class="wp-block-cover has-no-zindex-in-inner-blocks">
 	<video class="wp-block-cover__video-background intrinsic-ignore" autoplay muted loop playsinline src="data:video/mp4;base64,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" data-object-fit="cover"></video>
+	<span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span>
 	<div class="wp-block-cover__inner-container">
 		<!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 		<p class="has-text-align-center has-large-font-size">
diff --git a/test/integration/fixtures/blocks/core__cover__video.parsed.json b/test/integration/fixtures/blocks/core__cover__video.parsed.json
index 0ac0886db52f1f..75f6b55f855fad 100644
--- a/test/integration/fixtures/blocks/core__cover__video.parsed.json
+++ b/test/integration/fixtures/blocks/core__cover__video.parsed.json
@@ -21,9 +21,9 @@
 				]
 			}
 		],
-		"innerHTML": "\n<div class=\"wp-block-cover\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"></span>\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,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\" data-object-fit=\"cover\"></video>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
+		"innerHTML": "\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,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\" data-object-fit=\"cover\"></video>\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t\n\t</div>\n</div>\n",
 		"innerContent": [
-			"\n<div class=\"wp-block-cover\">\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"></span>\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,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\" data-object-fit=\"cover\"></video>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
+			"\n<div class=\"wp-block-cover has-no-zindex-in-inner-blocks\">\n\t<video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"data:video/mp4;base64,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\" data-object-fit=\"cover\"></video>\n\t<span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"></span>\n\t<div class=\"wp-block-cover__inner-container\">\n\t\t",
 			null,
 			"\n\t</div>\n</div>\n"
 		]
diff --git a/test/integration/fixtures/blocks/core__cover__video.serialized.html b/test/integration/fixtures/blocks/core__cover__video.serialized.html
index 0fb6cbf9e1266e..e3840e41ee7478 100644
--- a/test/integration/fixtures/blocks/core__cover__video.serialized.html
+++ b/test/integration/fixtures/blocks/core__cover__video.serialized.html
@@ -1,5 +1,5 @@
 <!-- wp:cover {"url":"data:video/mp4;base64,AAAAHGZ0eXBpc29tAAACAGlzb21pc28ybXA0MQAAAAhmcmVlAAAC721kYXQhEAUgpBv/wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA3pwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAcCEQBSCkG//AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADengAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAcAAAAsJtb292AAAAbG12aGQAAAAAAAAAAAAAAAAAAAPoAAAALwABAAABAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAAAB7HRyYWsAAABcdGtoZAAAAAMAAAAAAAAAAAAAAAIAAAAAAAAALwAAAAAAAAAAAAAAAQEAAAAAAQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAACRlZHRzAAAAHGVsc3QAAAAAAAAAAQAAAC8AAAAAAAEAAAAAAWRtZGlhAAAAIG1kaGQAAAAAAAAAAAAAAAAAAKxEAAAIAFXEAAAAAAAtaGRscgAAAAAAAAAAc291bgAAAAAAAAAAAAAAAFNvdW5kSGFuZGxlcgAAAAEPbWluZgAAABBzbWhkAAAAAAAAAAAAAAAkZGluZgAAABxkcmVmAAAAAAAAAAEAAAAMdXJsIAAAAAEAAADTc3RibAAAAGdzdHNkAAAAAAAAAAEAAABXbXA0YQAAAAAAAAABAAAAAAAAAAAAAgAQAAAAAKxEAAAAAAAzZXNkcwAAAAADgICAIgACAASAgIAUQBUAAAAAAfQAAAHz+QWAgIACEhAGgICAAQIAAAAYc3R0cwAAAAAAAAABAAAAAgAABAAAAAAcc3RzYwAAAAAAAAABAAAAAQAAAAIAAAABAAAAHHN0c3oAAAAAAAAAAAAAAAIAAAFzAAABdAAAABRzdGNvAAAAAAAAAAEAAAAsAAAAYnVkdGEAAABabWV0YQAAAAAAAAAhaGRscgAAAAAAAAAAbWRpcmFwcGwAAAAAAAAAAAAAAAAtaWxzdAAAACWpdG9vAAAAHWRhdGEAAAABAAAAAExhdmY1Ni40MC4xMDE=","dimRatio":40,"backgroundType":"video"} -->
-<div class="wp-block-cover"><span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span><video class="wp-block-cover__video-background intrinsic-ignore" autoplay muted loop playsinline src="data:video/mp4;base64,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" data-object-fit="cover"></video><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
+<div class="wp-block-cover has-no-zindex-in-inner-blocks"><video class="wp-block-cover__video-background intrinsic-ignore" autoplay muted loop playsinline src="data:video/mp4;base64,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" data-object-fit="cover"></video><span aria-hidden="true" class="wp-block-cover__background has-background-dim-40 has-background-dim"></span><div class="wp-block-cover__inner-container"><!-- wp:paragraph {"align":"center","placeholder":"Write title…","fontSize":"large"} -->
 <p class="has-text-align-center has-large-font-size">
 			Guten Berg!
 		</p>