Ticket #4869: 4869.diff

wp-admin/includes/update.php

@@ -35 +35 @@
 <div id="update-nag"><?php printf( __('Update Available! <a href="%s">Please upgrade now</a>.'), $cur->url ); ?></div>
 <?php
 }
-add_action( 'admin_notices', 'update_nag', 3 );
+if ( current_user_can('switch_themes') )
+        add_action( 'admin_notices', 'update_nag', 3 );
 
 function wp_update_plugins() {
         global $wp_version;