Index: blog/wp-admin/includes/ms.php
===================================================================
--- blog/wp-admin/includes/ms.php	(revision 25926)
+++ blog/wp-admin/includes/ms.php	(working copy)
@@ -607,7 +607,9 @@
 	global $wp_db_version;
 	if ( !is_super_admin() )
 		return false;
-	if ( get_site_option( 'wpmu_upgrade_site' ) != $wp_db_version )
+
+	$cur = get_preferred_from_update_core();
+	if ( get_site_option( 'wpmu_upgrade_site' ) != $wp_db_version && ( ! isset( $cur->response ) || $cur->response != 'upgrade' ) )
 		echo "<div class='update-nag'>" . sprintf( __( 'Thank you for Updating! Please visit the <a href="%s">Upgrade Network</a> page to update all your sites.' ), esc_url( network_admin_url( 'upgrade.php' ) ) ) . "</div>";
 }
 add_action( 'admin_notices', 'site_admin_notice' );