How to get $admin_email on network activated multisite

My contact form plugin “Fast Secure Contact Form” needs to get $admin_email for the default contact form Mail To recipient.
Currently I use $admin_email = get_option('admin_email');

One user who has network activated multisite said it is not pulling each site admin.

Is this the correct code then?
Will it always work?

if (function_exists('is_multisite') && is_multisite()) {
         $admin_email = get_site_option( 'admin_email' );
} else {
         $admin_email = get_option('admin_email');
}

Thanks for any help.