I hate to say it, but it could stay this way for weeks *ducks for cover*

DS2 was fully engaged at 36 weeks (I actually felt the moment it happened LOL), but he was born 5 days overdue. I was told by the midwives that I could go "at any time now", I hate that!!!

So, I suppose the answer is Yes, it's possible you could go soon, but it's also possible you will feel this uncomfortable for a few more weeks yet...

Sorry I'm not much help :P