Index: src/wp-includes/update.php
===================================================================
--- src/wp-includes/update.php	(revision 37518)
+++ src/wp-includes/update.php	(working copy)
@@ -678,27 +678,28 @@
 	delete_site_transient( 'update_core' );
 }
 
+add_action( 'upgrader_process_complete', 'wp_version_check', 10, 0 );
+add_action( 'upgrader_process_complete', 'wp_update_plugins', 10, 0 );
+add_action( 'upgrader_process_complete', 'wp_update_themes', 10, 0 );
+
 if ( ( ! is_main_site() && ! is_network_admin() ) || ( defined( 'DOING_AJAX' ) && DOING_AJAX ) ) {
 	return;
 }
 
 add_action( 'admin_init', '_maybe_update_core' );
 add_action( 'wp_version_check', 'wp_version_check' );
-add_action( 'upgrader_process_complete', 'wp_version_check', 10, 0 );
 
 add_action( 'load-plugins.php', 'wp_update_plugins' );
 add_action( 'load-update.php', 'wp_update_plugins' );
 add_action( 'load-update-core.php', 'wp_update_plugins' );
 add_action( 'admin_init', '_maybe_update_plugins' );
 add_action( 'wp_update_plugins', 'wp_update_plugins' );
-add_action( 'upgrader_process_complete', 'wp_update_plugins', 10, 0 );
 
 add_action( 'load-themes.php', 'wp_update_themes' );
 add_action( 'load-update.php', 'wp_update_themes' );
 add_action( 'load-update-core.php', 'wp_update_themes' );
 add_action( 'admin_init', '_maybe_update_themes' );
 add_action( 'wp_update_themes', 'wp_update_themes' );
-add_action( 'upgrader_process_complete', 'wp_update_themes', 10, 0 );
 
 add_action( 'update_option_WPLANG', 'wp_clean_update_cache' , 10, 0 );