diff --git a/packages/block-editor/src/components/block-list/index.js b/packages/block-editor/src/components/block-list/index.js
index 508b33af0ad38..7eb8bc69de8e2 100644
--- a/packages/block-editor/src/components/block-list/index.js
+++ b/packages/block-editor/src/components/block-list/index.js
@@ -75,7 +75,6 @@ function Items( {
 			hasMultiSelection,
 			getGlobalBlockCount,
 			isTyping,
-			isDraggingBlocks,
 			__experimentalGetActiveBlockIdByBlockNames,
 		} = select( 'core/block-editor' );
 
@@ -93,7 +92,6 @@ function Items( {
 			enableAnimation:
 				! isTyping() &&
 				getGlobalBlockCount() <= BLOCK_ANIMATION_THRESHOLD,
-			isDraggingBlocks: isDraggingBlocks(),
 			activeEntityBlockId,
 		};
 	}
@@ -105,7 +103,6 @@ function Items( {
 		orientation,
 		hasMultiSelection,
 		enableAnimation,
-		isDraggingBlocks,
 		activeEntityBlockId,
 	} = useSelect( selector, [ rootClientId ] );
 
@@ -114,8 +111,7 @@ function Items( {
 		rootClientId,
 	} );
 
-	const isAppenderDropTarget =
-		dropTargetIndex === blockClientIds.length && isDraggingBlocks;
+	const isAppenderDropTarget = dropTargetIndex === blockClientIds.length;
 
 	return (
 		<>
@@ -124,8 +120,7 @@ function Items( {
 					? multiSelectedBlockClientIds.includes( clientId )
 					: selectedBlockClientId === clientId;
 
-				const isDropTarget =
-					dropTargetIndex === index && isDraggingBlocks;
+				const isDropTarget = dropTargetIndex === index;
 
 				return (
 					<AsyncModeProvider
diff --git a/packages/components/src/drop-zone/provider.js b/packages/components/src/drop-zone/provider.js
index 5496ddf4d9165..364f5491bb4af 100644
--- a/packages/components/src/drop-zone/provider.js
+++ b/packages/components/src/drop-zone/provider.js
@@ -88,6 +88,10 @@ class DropZoneProvider extends Component {
 		const { defaultView } = ownerDocument;
 		defaultView.addEventListener( 'dragover', this.onDragOver );
 		defaultView.addEventListener( 'mouseup', this.resetDragState );
+		// Note that `dragend` doesn't fire consistently for file and HTML drag
+		// events where the drag origin is outside the browser window.
+		// In Firefox it may also not fire if the originating node is removed.
+		defaultView.addEventListener( 'dragend', this.resetDragState );
 	}
 
 	componentWillUnmount() {
@@ -95,6 +99,7 @@ class DropZoneProvider extends Component {
 		const { defaultView } = ownerDocument;
 		defaultView.removeEventListener( 'dragover', this.onDragOver );
 		defaultView.removeEventListener( 'mouseup', this.resetDragState );
+		defaultView.removeEventListener( 'dragend', this.resetDragState );
 	}
 
 	addDropZone( dropZone ) {