Hopefully I know enough about a co-worker's skills to form a good opinion of them before I find out what college they went to. If you bring it up in our first conversation, I'm going to wonder why.

On the other hand, if you went to grad school, research is such a small world that this kind of thing comes up more often - I might ask who your advisor was, etc, to find out whether we have friends in common. It's less about skills.