Technically speaking, you should renew before going for the reasons the previous poster mentioned.
That said, I've previously entered EU countries (post 9/11) when my passport was within 6 months of expiration. I didn't know the 6 month rule at the time. The EU country's immigration pointed out the expiration date to me, then stamped me in. Given that you're entering France, speaking French to the immigration officer will help considerably.
It would be safer to renew ahead of time, of course, and two weeks ought to be plenty of time to renew.