Index: wp-includes/post.php
===================================================================
--- wp-includes/post.php	(revision 23844)
+++ wp-includes/post.php	(working copy)
@@ -2656,7 +2656,9 @@
 	}
 
 	$maybe_empty = ! $post_content && ! $post_title && ! $post_excerpt && post_type_supports( $post_type, 'editor' )
-		&& post_type_supports( $post_type, 'title' ) && post_type_supports( $post_type, 'excerpt' );
+		&& post_type_supports( $post_type, 'title' ) && post_type_supports( $post_type, 'excerpt' )
+		&& ! in_array( get_post_format( $post_ID ), array( 'audio', 'video', 'quote', 'image', 'link' ) );
+
 	if ( apply_filters( 'wp_insert_post_empty_content', $maybe_empty, $postarr ) ) {
 		if ( $wp_error )
 			return new WP_Error( 'empty_content', __( 'Content, title, and excerpt are empty.' ) );