I am in that situation now and we broke up. It is really painful to have to see this person everyday and it makes moving on very tough. I have never told anyone in our office we where dating and neither has he but it is sometimes obvious and it has been confusing and awkward for our coworkers who wonder what is going on. It is your call- just ask yourself if you can deal with the aftermath if it does not work out. I thought I could and so far- it kind of sucks. Good luck and hope it works out for you!