Access to protected feeds via HTTP authentication?

I’m using Multisite Privacy to protect a WP network. I’ve selected “Visitors must have a login” for each site.

I’d like to access the feeds for these sites from the dashboards of sites in another network, displaying them with your Dashboard Feeds plugin. (Protected content authored in NetworkA, displayed in dashboards for users of NetworkB.)

However, the authentication at NetworkA is getting in the way, and supplying doesn’t seem to be supported.

Is there a way for me to achieve this?