Jason Pierre-Paul said he'll be back to his old form this year -- and that he expects to be back with the Giants the year after that.

The defensive end, who is coming off an injury-riddled 2013 campaign, said he is "awesome" and "110 percent" this summer and expecting big things from himself.

"I'm going to be out there running full speed, running and chasing down running backs and chasing down quarterbacks," he said. "That's what I do best."

But he also admitted that playing in the last year of his contract has been on his mind. Not on the field, he insists, but "off the field, when you go home or whatever, that's when you think about that stuff."

JPP could be a UFA (unrestricted free agent) after this season. But he doesn't think that will change his mailing address.

"I think I'm going to be here next year," he said. "Honestly. I know how I play and I know what kind of game I bring when I'm on the field."

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That said, he's also seen other well-established players with the Giants go bye-bye.

"I'm not going to lie," he said. "Seeing [Justin] Tuck gone, it's on my mind a little bit. But at the end of the day I don't worry about it. When I'm on that field, family matters and those off-the-field issues, I don't worry about it. When I'm on the field, it's all about my brothers and what I do best."

Pierre-Paul said he hasn't felt this healthy since the end of the 2012 season. He's lost weight, listed at 278, but said that has nothing to do with his play. "The year we won the Super Bowl I was 285 and I was running like a lion," he said. And he has gotten stronger in his upper body compared to where he was before the back surgery.

Pierre-Paul underwent back surgery last spring and missed all of training camp and most of the preseason in 2013. He rushed back to be on the field for the opener but was clearly not ready to play. He said Thursday that the decision to return so quickly hurt his production, and also probably led to the shoulder injury that ultimately ended his season. He finished with only 2.0 sacks and 27 tackles.

Now, though, he's feeling, as he said several times, 110 percent. In the spring he said he was feeling only 100 percent. So where did that extra 10 percent come from, JPP?

"My mind."

The Giants don't care where it comes from, as long as it comes back.

"I'm all for it," Tom Coughlin said of Pierre-Paul boasting about how he feels. "We want him to be the very best that he can be and I'm glad he's in that frame of mind, feels good about himself, and we're looking forward to a very, very good year from JPP."