I haven't had experience with advance parole but have also not heard of anyone who had a problem. A little more occasional questioning at the port of entry but everyone that I know that have traveled with AP have come through. It shouldn't make a difference if its about to expire or not.
However, AP is still discretionary. If you have an underlying status, feel free to go. If not, and you don't have future plans for a status, you have to leave in a few months anyways, so why not just wait it out.