Domain Mapping and https

Do I need to set up differently in Domain Mapping plugin to work with https? Because when I try to login in https after installation the Domain Mapping, it won't allowed me. But when the setting I change in my domain level to http, it allowed to login back. Is there any chance to login in https with Domain Mapping installed? Also, I did try to force login and admin pages to use https in Domain Mapping Plugin. Still did not work either. I could not login back to my site. So I de-activate the plugin right now. BTW, this is brand new installed wordpress site.Maybe somebody care to take a look? Thank you and appreciate your help.