diff --git a/packages/edit-site/src/components/list/actions/rename-menu-item.js b/packages/edit-site/src/components/list/actions/rename-menu-item.js
index 27d70257a5029..11b4b4fa605fa 100644
--- a/packages/edit-site/src/components/list/actions/rename-menu-item.js
+++ b/packages/edit-site/src/components/list/actions/rename-menu-item.js
@@ -27,7 +27,7 @@ export default function RenameMenuItem( { template, onClose } ) {
 		noticesStore
 	);
 
-	if ( template.is_custom ) {
+	if ( template.has_theme_file ) {
 		return null;
 	}