diff --git a/test/e2e/specs/editor/blocks/cover.spec.js b/test/e2e/specs/editor/blocks/cover.spec.js
index 4cfac0aac032fd..cc5a7d55cb4563 100644
--- a/test/e2e/specs/editor/blocks/cover.spec.js
+++ b/test/e2e/specs/editor/blocks/cover.spec.js
@@ -230,7 +230,6 @@ test.describe( 'Cover', () => {
 	test( 'z-index of Navigation block inside a Cover block is higher than the other cover inner blocks', async ( {
 		editor,
 		page,
-		coverBlockUtils,
 	} ) => {
 		// Insert a Cover block
 		await editor.insertBlock( { name: 'core/cover' } );
@@ -282,15 +281,23 @@ test.describe( 'Cover', () => {
 			.getByRole( 'button', { name: 'Open menu' } )
 			.click();
 
-		const menuZIndex = await coverBlockUtils.calculateZIndexContext(
-			coverBlock.locator( '.wp-block-navigation__responsive-container' )
+		// Locate the inner container
+		const innerContainer = secondCoverBlock.locator(
+			'.wp-block-cover__inner-container'
 		);
 
-		const innerBlocksZIndex = await coverBlockUtils.calculateZIndexContext(
-			secondCoverBlock.locator( '.wp-block-cover__inner-container' )
-		);
+		let isClickable;
+
+		try {
+			isClickable = await innerContainer.click( {
+				trial: true,
+				timeout: 1000, // This test will always take 1 second to run.
+			} );
+		} catch ( error ) {
+			isClickable = false;
+		}
 
-		expect( menuZIndex ).toBeGreaterThan( innerBlocksZIndex );
+		expect( isClickable ).toBe( false );
 	} );
 } );
 
@@ -321,27 +328,4 @@ class CoverBlockUtils {
 
 		return filename;
 	}
-
-	async calculateZIndexContext( element ) {
-		const zIndexResult = await element.evaluate( ( el ) => {
-			let zIndex = 0;
-			let currentElement = el;
-
-			while ( currentElement ) {
-				const computedStyle = window.getComputedStyle( currentElement );
-				const zIndexValue = parseInt( computedStyle.zIndex, 10 );
-
-				// If the element creates a new stacking context
-				if ( ! isNaN( zIndexValue ) ) {
-					zIndex = zIndexValue;
-				}
-
-				currentElement = currentElement.parentElement; // Move up the DOM tree
-			}
-
-			return zIndex;
-		} );
-
-		return zIndexResult;
-	}
 }