Will the auto plugin upgrade filter in 3.7 work on multisite?

There is a new filter that can be added to functions.php to upgrade plugins automatically.

add_filter( ‘auto_update_plugin’, ‘__return_true’ );

http://codex.wordpress.org/Configuring_Automatic_Background_Updates

The question is, if I add that code to each theme being used on Multisite, will it upgrade plugins in the Network area? Is there another way to do it? I can’t seem to find documentation about this. Thanks!