Index: wp-admin/update-core.php
===================================================================
--- wp-admin/update-core.php	(revision 12467)
+++ wp-admin/update-core.php	(working copy)
@@ -153,7 +153,7 @@
 	$form_action = 'update-core.php?action=do-plugin-upgrade';
 
 	$core_updates = get_core_updates();
-	if ( !isset($core_updates[0]->response) || 'latest' == $core_updates[0]->response || 'development' == $core_updates[0]->response )
+	if ( !isset($core_updates[0]->response) || 'latest' == $core_updates[0]->response || 'development' == $core_updates[0]->response || version_compare( $core_updates[0]->current, $cur_wp_version, '=') )
 		$core_update_version = false;
 	else
 		$core_update_version = $core_updates[0]->current;
