diff --git a/src/admin/js/media-manager/drop-zone.js b/src/admin/js/media-manager/drop-zone.js
index 96d3077..674edad 100644
--- a/src/admin/js/media-manager/drop-zone.js
+++ b/src/admin/js/media-manager/drop-zone.js
@@ -46,6 +46,7 @@ function addDropZoneListenerToMediaManager( targetDocument ) {
 		// is triggered. We might break other funcitonality that we don't have
 		// the conversion to happen.
 		if ( ! event.target.closest( '.media-frame-uploader' ) && // Allowed to drop in the Media Manager
+			! event.target.closest( '.supports-drag-drop' ).querySelector( '.media-frame-uploader' ) && // Allowed a fallback to drop in the Media Manager
 			! event.target.closest( '.media-upload-form' ) && // Allowed to drop in the admin Media > Add Media File.
 			! event.target.closest( '.editor-post-featured-image' ) && // Allowed to drop in the featured image drop zone.
 			! event.target.closest( '.editor-styles-wrapper' ) && // Allowed to drop in the block editor when adding new image blocks