Multisite Privacy with SSO by Simple Google Connect

When trying to use Multisite Privacy to restict access to logged in users only, in combination with the Google Singe Sign On provided by Otto's Simple Google Connect, I find that it is no longer possible to login via SSO.

I tried Ron Rennick's plugin Network Privacy and that one does work (even if not very smoothly) with login via SSO. Would it be possible to get Multisite Privacy to work with SSO?

Thanks