You can convert ANY JAR license except an SPL to an FAA PPL.
No test is required.
It takes about 2-3 months to get the paperwork for your temperary airmans certificate ! No joke. You can fly with this Temp airmans certificate, a White piece of paper. A couple of months later you will recieve your credit card size FAA PPL license.
I'd get the ball rolling as early as possible
Best of Luck