We've had F/Es with ATP but zero jet and zero turbo-prop time move into the right seat; and we've had ATPs with 1000 hours PIC turboprop experience not make it into the right seat.
Primary criteria is: Can you fly a jet? Can you fly instruments? Are you trainable?...not whether you have 1000 hours PIC in a King Air or 1000 hours PIC in a Cessna 402.
A 45 minute Sim evaluation ride will usually determine whether your hands on experience level is sufficient to satisfactorily complete the F/O training program.