J2 with EAD => NIW, EAD again?

[shayo]

Here is our scenario. I am a postdoc on a J-1. My wife is on a J-2. She already applied for a work authorization (EAD) and it was approved, and will remain valid until our DS2019 expires (sometime in 2017).
I am planning to apply for EB2-NIW (I140 + I485).
Question: Do I need to submit another EAD for my wife, or will the one she has already is sufficient?

Thanks!

Shay