Node with Parent Item (Primary links) will list in Primary Links block if Publising options are set to In Moderation

I have two user roles, Staff and Admin. Staff is to create content and assign it to the proper menu. Admin is to approve the content and set its status to publish.

When a page is created (by Staff) with the publishing options: In moderation queue and Create new revision checked and all others unchecked and the Menu Settings have the page as a child of Primary links, the link appears in Primary links. This behavior is undesirable (for my purposes). Can the behavior of the Primary links block be modified to not display links in if a link points to a node that's Publishing options are set to In moderation queue.