diff --git a/src/wp-includes/ms-functions.php b/src/wp-includes/ms-functions.php
index e024789052..d209435fd3 100644
--- a/src/wp-includes/ms-functions.php
+++ b/src/wp-includes/ms-functions.php
@@ -2274,10 +2274,13 @@ function wp_schedule_update_network_counts() {
  * Update the network-wide counts for the current network.
  *
  * @since 3.1.0
+ * @since 4.8.0 The $network_id parameter has been added.
+ *
+ * @param int|null $network_id ID of the network. Default is the current network.
  */
-function wp_update_network_counts() {
-	wp_update_network_user_counts();
-	wp_update_network_site_counts();
+function wp_update_network_counts( $network_id = null ) {
+	wp_update_network_user_counts( $network_id );
+	wp_update_network_site_counts( $network_id );
 }
 
 /**
diff --git a/tests/phpunit/tests/multisite/network.php b/tests/phpunit/tests/multisite/network.php
index 50c15d0393..71e3ed8ff7 100644
--- a/tests/phpunit/tests/multisite/network.php
+++ b/tests/phpunit/tests/multisite/network.php
@@ -440,6 +440,36 @@ class Tests_Multisite_Network extends WP_UnitTestCase {
 		$result = get_user_count( self::$different_network_id );
 		$this->assertEquals( $expected, $result );
 	}
+
+	/**
+	 * @ticket 40386
+	 */
+	public function test_wp_update_network_counts() {
+		delete_network_option( null, 'site_count' );
+		delete_network_option( null, 'user_count' );
+
+		wp_update_network_counts();
+
+		$site_count = (int) get_blog_count();
+		$user_count = (int) get_user_count();
+
+		$this->assertTrue( $site_count > 0 && $user_count > 0 );
+	}
+
+	/**
+	 * @ticket 40386
+	 */
+	public function test_wp_update_network_counts_on_different_network() {
+		delete_network_option( self::$different_network_id, 'site_count' );
+		delete_network_option( self::$different_network_id, 'user_count' );
+
+		wp_update_network_counts( self::$different_network_id );
+
+		$site_count = (int) get_blog_count( self::$different_network_id );
+		$user_count = (int) get_user_count( self::$different_network_id );
+
+		$this->assertTrue( $site_count > 0 && $user_count > 0 );
+	}
 }
 
 endif;