diff --git a/packages/block-editor/src/components/inserter/media-tab/hooks.js b/packages/block-editor/src/components/inserter/media-tab/hooks.js
index f537dce68608ad..e3b68510d77d2e 100644
--- a/packages/block-editor/src/components/inserter/media-tab/hooks.js
+++ b/packages/block-editor/src/components/inserter/media-tab/hooks.js
@@ -66,14 +66,15 @@ export function useMediaCategories( rootClientId ) {
 				per_page: 1,
 				_fields: [ 'id' ],
 			};
-			const [ image, video, audio ] = await Promise.all( [
+			const [ image, video, audio ] = await Promise.allSettled( [
 				fetchMedia( { ...query, media_type: 'image' } ),
 				fetchMedia( { ...query, media_type: 'video' } ),
 				fetchMedia( { ...query, media_type: 'audio' } ),
 			] );
-			const showImage = canInsertImage && !! image.length;
-			const showVideo = canInsertVideo && !! video.length;
-			const showAudio = canInsertAudio && !! audio.length;
+			// The `value` property is only present if the promise's status is "fulfilled".
+			const showImage = canInsertImage && !! image.value?.length;
+			const showVideo = canInsertVideo && !! video.value?.length;
+			const showAudio = canInsertAudio && !! audio.value?.length;
 			setCategories(
 				MEDIA_CATEGORIES.filter(
 					( { mediaType } ) =>