Index: src/wp-admin/includes/ms.php
===================================================================
--- src/wp-admin/includes/ms.php	(revision 39548)
+++ src/wp-admin/includes/ms.php	(working copy)
@@ -773,7 +773,7 @@
 function site_admin_notice() {
 	global $wp_db_version, $pagenow;
 
-	if ( ! is_super_admin() ) {
+	if ( ! current_user_can( 'upgrade_database' ) ) {
 		return false;
 	}