I recommend not to travel with TPS AP at this time as TPS is expiring soon on Dec 21, 2016 which is almost closer to 90 days and if it does not extend, then he will have a problem at POE upon arrival.
If he wants to travel under emergency, I would recommend to consult an experienced lawyer. However, it's a wise decision to travel only if TPS extend which we get to know by Oct 21, two months prior to its expire date.
He could have traveled earlier but its quite risky now.