Is there a way or another way to give a user read rights to their private posts?

I have a custom post type called reviewsand a form on the site, the user with the custom role reviewer can post to this custom post type.
This post is published as private, so an administrator must read it and then publish it.

My question is: how can that be? reviewer see his post, but only his own posts, even if they are marked as Private?

I think a filter hook would be the way to go, but I'm not sure which hook would work.