Show Widgets on AMP pages only

Is there any effective way to show a widget only on the AMP version of a post/page? For example, since Email Optins do not work, I would like to add a text widget which has an image “sign up” which points to a non-amp page where they can sign up. So I would want the widget to be hidden on non-AMP pages (where the optin forms will still display).

Maybe with Widget Logic or some other method? Or is there a way to adjust the “Visibility” feature of Jetpack so it has an option for AMP/non-AMP?