diff --git a/src/wp-includes/update.php b/src/wp-includes/update.php
index 756c593591..de335a04c9 100644
--- a/src/wp-includes/update.php
+++ b/src/wp-includes/update.php
@@ -251,7 +251,7 @@ function wp_update_plugins( $extra_stats = array() ) {
 		'user-agent' => 'WordPress/' . $wp_version . '; ' . get_bloginfo( 'url' )
 	);
 
-	if ( $plugin_update_stats ) {
+	if ( $extra_stats ) {
 		$options['body']['update_stats'] = json_encode( $extra_stats );
 	}
 
@@ -396,7 +396,7 @@ function wp_update_themes( $extra_stats = array() ) {
 		'user-agent'	=> 'WordPress/' . $wp_version . '; ' . get_bloginfo( 'url' )
 	);
 
-	if ( $theme_update_stats ) {
+	if ( $extra_stats ) {
 		$options['body']['update_stats'] = json_encode( $extra_stats );
 	}
 
@@ -612,14 +612,14 @@ 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' );
+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' );
+add_action( 'upgrader_process_complete', 'wp_update_themes', 10, 0 );
 
 add_action( 'wp_maybe_auto_update', 'wp_maybe_auto_update' );