I think you push based on who you're playing and your likely table image.
If the guy is a strong player then he's not going to have called you with a weak ace. If he has a strong ace then why hasn't he put you in right there ? You're both short enough for the initial pot to be well worth winning. My guess would be he has some marginal pocket pair and wants to see a flop without an ace before getting the rest in.
He'll also very likely believe that you have the ace, as you've tended to have a tight image when I've played you.