[Urgent] Reentry with Advance Parole after J1 Expired

[sfacs]

Hello,

I have a J1 visa valid until December 29th.
I got married in August 2011 to a US citizen, and applied for a green card + Advance Parole.

My EAD and AP has been approved 2 weeks ago. (EAD card serves as Advance Parole).

My question is:
Can I travel to france for 2 weeks, from December 23rd, to January 6th, knowing that by the time I will reenter, my J1 will be expired. Is the EAD/AP Card enough to reenter?

I would appreciate any advices!

Thanks,

J.