Membership level that can post to a particular job type/category?

I have a question. I have the WP JobBoard plugin. Ideally, I would like to have a membership level that can post to a certain job type (or certain category) that no one else can post. Do you know if that's possible?

Essentially, my client wants only our state employee members to be able to post government jobs so they are sort of "government verified" contractor jobs that any member can apply to. And all other members can post other kinds of jobs.

I've also asked the WP JobBoard support to see if this is possible. I wasn't sure which one of you to ask, so I thought I'd ask both.