diff --git a/packages/block-editor/src/components/block-list/block.js b/packages/block-editor/src/components/block-list/block.js
index 0923dcb99adcc0..d06c286e430f50 100644
--- a/packages/block-editor/src/components/block-list/block.js
+++ b/packages/block-editor/src/components/block-list/block.js
@@ -161,6 +161,7 @@ function BlockListBlock( {
 		clientId,
 		className,
 		wrapperProps: omit( wrapperProps, [ 'data-align' ] ),
+		isAligned,
 	};
 	const memoizedValue = useMemo( () => value, Object.values( value ) );
 
diff --git a/packages/block-editor/src/components/block-list/use-block-props/index.js b/packages/block-editor/src/components/block-list/use-block-props/index.js
index bbffe084d575c7..4c4c5a6612ad9e 100644
--- a/packages/block-editor/src/components/block-list/use-block-props/index.js
+++ b/packages/block-editor/src/components/block-list/use-block-props/index.js
@@ -58,7 +58,7 @@ const BLOCK_ANIMATION_THRESHOLD = 200;
  * @return {Object} Props to pass to the element to mark as a block.
  */
 export function useBlockProps( props = {}, { __unstableIsHtml } = {} ) {
-	const { clientId, className, wrapperProps = {} } = useContext(
+	const { clientId, className, wrapperProps = {}, isAligned } = useContext(
 		BlockListBlockContext
 	);
 	const {
@@ -141,7 +141,9 @@ export function useBlockProps( props = {}, { __unstableIsHtml } = {} ) {
 		'data-title': blockTitle,
 		className: classnames(
 			// The wp-block className is important for editor styles.
-			'wp-block block-editor-block-list__block',
+			classnames( 'block-editor-block-list__block', {
+				'wp-block': ! isAligned,
+			} ),
 			className,
 			props.className,
 			wrapperProps.className,
diff --git a/packages/block-editor/src/utils/dom.js b/packages/block-editor/src/utils/dom.js
index 3a6db1685aebb1..4416f8eb4861e8 100644
--- a/packages/block-editor/src/utils/dom.js
+++ b/packages/block-editor/src/utils/dom.js
@@ -1,6 +1,4 @@
-// Consider the block appender to be a child block of its own, which also has
-// this class.
-const BLOCK_SELECTOR = '.wp-block';
+const BLOCK_SELECTOR = '.block-editor-block-list__block';
 
 /**
  * Returns true if two elements are contained within the same block.
diff --git a/packages/block-library/src/navigation/edit.js b/packages/block-library/src/navigation/edit.js
index 99adf28132389b..4d1be5cfa700b9 100644
--- a/packages/block-library/src/navigation/edit.js
+++ b/packages/block-library/src/navigation/edit.js
@@ -196,10 +196,15 @@ export default compose( [
 		const selectedBlockHasDescendants = !! getClientIdsOfDescendants( [
 			selectedBlockId,
 		] )?.length;
+
 		return {
 			isImmediateParentOfSelectedBlock,
 			selectedBlockHasDescendants,
 			hasExistingNavItems: !! innerBlocks.length,
+
+			// This prop is already available but computing it here ensures it's
+			// fresh compared to isImmediateParentOfSelectedBlock
+			isSelected: selectedBlockId === clientId,
 		};
 	} ),
 	withDispatch( ( dispatch, { clientId } ) => {