Personally, I wouldn't risk it. You could have a clash with the GA when it comes time to board and you really won't have time to argue your point. There are visa services that can get you a passport in a day. You don't say where you are, but some larger cities (like Minneapolis) have a real passport office that can do a passport in a day also. It's going to cost you some extra money, but you need a new passport anyway, eventually. Put the extra money down as a learning experience to renew your passport earlier.