One other thing: If your positions at work cross paths a lot, you two stand to be a distraction to each other. As someone that got involved with a coworker years ago, this was our problem; especially when things were new. This
potentially can hinder both of your work ethic which, if it comes back to either of you in the form of a reprimand (or worse), can serve to damage the relationship too.
I'm not saying "don't go for it," but there are some variables to consider. How much do you like this person?