Index: wp-includes/ms-functions.php
===================================================================
--- wp-includes/ms-functions.php	(revision 38204)
+++ wp-includes/ms-functions.php	(working copy)
@@ -2258,13 +2258,16 @@
  *
  * @since 3.7.0
  *
- * @global wpdb $wpdb WordPress database abstraction object.
+ * @param int $network_id Optional. Id of the network to calculate the site count for. Defaults to active network id.
  */
-function wp_update_network_site_counts() {
-	global $wpdb;
+function wp_update_network_site_counts( $network_id = null ) {
 
+	if ( !$network_id ) {
+		$network_id = get_current_network_id();
+	}
+	
 	$count = get_sites( array(
-		'network_id' => $wpdb->siteid,
+		'network_id' => $network_id,
 		'spam'       => 0,
 		'deleted'    => 0,
 		'archived'   => 0,
