Pierre-Paul suffered the injury against Oakland on Nov. 10 but played in the next two games (against Green Bay and Dallas). He was on the field for less than half of the defensive plays against the Cowboys.
"It was painful," Pierre-Paul said earlier this week. "What I expected to do, I didn't do. It got to a point where I could only go out there on third downs, basically. I'm out there rushing with one arm, and I'm trying. But you get to a point where you can't be Superman. You've got to come out and hope the next guy can do better than you."
Pierre-Paul said Wednesday he doesn't want to be sidelined the remainder of the season, but it may be the wise thing for the Giants to do because of their slim playoff chances. With Philadelphia and Dallas both two games ahead of the Giants in the NFC East with four games remaining, and the Cowboys owning the tiebreaker, the Giants are in a rough spot.
Still, coach Tom Coughlin said Friday he believes Pierre-Paul will play again this season.
"I'm doing everything I possibly can to put myself back on that field," Pierre-Paul said Wednesday. "Shutting down is not in my vocabulary. Otherwise, I would have shut it down when I got the injury in the Oakland game. Even if I can get back for one game, that would be worth it to me.
"I'm not going to be myself until next year. I know that. I was starting to get there before this injury, but the way I feel now, I'm not going to play unless I'm going to be a factor and I know I can protect myself."
The Giants will also be without cornerback Corey Webster (ankle) despite him practicing all week. Sunday will mark the fifth straight game Webster misses and his ninth of the season. Webster started the first two games before missing four games with hip and groin injuries. He returned for two games, barely playing in either, and hasn't played since.
Running back Brandon Jacobs (knee) is doubtful after missing his second straight day of practice. The plan was for Jacobs to work Friday, but he was in the stationary bike area during the portion of practice open to the media. If he can't go, he'll miss his second straight game.
Starting cornerback Trumaine McBride (groin) is questionable after limited practices all week. McBride missed last weekend's win over Washington with a groin injury he suffered against Dallas.
"He looks like he's going to be OK," Coughlin said.