diff --git a/packages/block-directory/src/components/downloadable-block-list-item/index.js b/packages/block-directory/src/components/downloadable-block-list-item/index.js
index 91432c975ddcc..58599f70b3d24 100644
--- a/packages/block-directory/src/components/downloadable-block-list-item/index.js
+++ b/packages/block-directory/src/components/downloadable-block-list-item/index.js
@@ -62,7 +62,7 @@ function getDownloadableBlockLabel(
 	);
 }
 
-function DownloadableBlockListItem( { composite, item, onClick } ) {
+function DownloadableBlockListItem( { item, onClick } ) {
 	const { author, description, icon, rating, title } = item;
 	// getBlockType returns a block object if this block exists, or null if not.
 	const isInstalled = !! getBlockType( item.name );
@@ -111,7 +111,6 @@ function DownloadableBlockListItem( { composite, item, onClick } ) {
 					tooltipPosition="top center"
 				/>
 			}
-			store={ composite }
 			disabled={ isInstalling || ! isInstallable }
 		>
 			<div className="block-directory-downloadable-block-list-item__icon">
diff --git a/packages/block-directory/src/components/downloadable-blocks-list/index.js b/packages/block-directory/src/components/downloadable-blocks-list/index.js
index 942a5fd3e2b1e..5510685cdc274 100644
--- a/packages/block-directory/src/components/downloadable-blocks-list/index.js
+++ b/packages/block-directory/src/components/downloadable-blocks-list/index.js
@@ -15,7 +15,7 @@ import { store as blockDirectoryStore } from '../../store';
 const noop = () => {};
 
 function DownloadableBlocksList( { items, onHover = noop, onSelect } ) {
-	const composite = useCompositeStore();
+	const compositeStore = useCompositeStore();
 	const { installBlockType } = useDispatch( blockDirectoryStore );
 
 	if ( ! items.length ) {
@@ -24,7 +24,7 @@ function DownloadableBlocksList( { items, onHover = noop, onSelect } ) {
 
 	return (
 		<Composite
-			store={ composite }
+			store={ compositeStore }
 			role="listbox"
 			className="block-directory-downloadable-blocks-list"
 			aria-label={ __( 'Blocks available for install' ) }
@@ -33,7 +33,6 @@ function DownloadableBlocksList( { items, onHover = noop, onSelect } ) {
 				return (
 					<DownloadableBlockListItem
 						key={ item.id }
-						composite={ composite }
 						onClick={ () => {
 							// Check if the block is registered (`getBlockType`
 							// will return an object). If so, insert the block.