Coughlin said the pass rusher will see "a good amount of reps" with the defense and scout teams.
"It's going to be a big adjustment," he added. "I've gotten over the bad part. But there's nothing that I can't do."
Pierre-Paul can earn up to $8.7 million on his deal with a low guarantee but reachable incentives, NFL Media Insider Ian Rapoport reported, per a source.
After months of being away from the team, it sounds like JPP will see the field Sunday after missing the Week 8 loss to the Saints. The defensive end said last week he expects to return to the level he played at prior to the injury.