Hold a current FAA First Class Medical Certificate
Hold a current ATP certificate OR hold an ATP written with a commercial pilot airplane multiengine land certificate with instrument certificate
Hold a current flight engineer written or current flight engineer certificate
Hold an FCC restricted radiotelephone operator permit
Minimum of 1500 hours of total fixed-wing pilot time. (UPS will allow military candidates to add a plus (.3) per sortie factor to flight times)
Minimum of 1000 hours pilot in command (PIC) hours in fixed--wing multi-engine turboprop per FAR 1.1. (UPS will allow military candidates to add a plus (.3) per sortie factor to flight times)
I imagine that last bullet point about turbo-PROP is a typo hopefully since above it says jet or turboprop