EAST RUTHERFORD, N.J. -- The Dallas Cowboys always bring out the best in Jason Pierre-Paul.

On the field and off it.

A month ago, Pierre-Paul played his best game of the season in the New York Giants' 31-21 loss in Dallas. The next day, he said the Giants could win their remaining nine games.

Now it's time for the Giants to play the Cowboys again, on Sunday night at MetLife Stadium. And even though the Giants have gone from 3-4 to 3-7 since his first "run the table" proclamation, Pierre-Paul doubled down on it Friday.

"Don't count us out yet," Pierre-Paul said. "We made it hard on ourselves, but we can dig out of this hole."

The Giants have lost five straight. They're four games behind the Cowboys and Philadelphia Eagles, who are tied atop the NFC East with 7-3 records and only six games remaining.

As Pierre-Paul helpfully pointed out, both the Cowboys and Eagles still have to come to MetLife.

Also, as Pierre-Paul helpfully pointed out, he has some history with the Cowboys.

"When it comes to the Cowboys, I always play great against them," he said.

He has played well against them. In nine career games, he has seven sacks, his most against any opponent. Coach Tom Coughlin singled Pierre-Paul out after the first Dallas game this season, pointing out how well he did while lined up against Tyron Smith, the Cowboys left tackle who was coming off winning the NFL's Offensive Player of the Week award.

"He's good competition," Pierre-Paul said. "He brings it. I bring it. He's one of those tackles you've got to study real hard."

Pierre-Paul is playing for a new contract, so there's little doubt that he's motivated to be at his best the rest of the season ("I would love to be a Giant next year," he said Friday). But he insisted that the Giants still have plenty to play for as a team, too.

"They've got to come through here," he said. "You know what I mean. Every team's got to come through here. Any team that comes through here, we're going to be playing our hardest. We've made it hard on ourselves, in this predicament that we're in right now. We can dig ourselves out of it by winning all these games. We've got six games left. Let's win them. I think we can.

"I think we can run the table," he said. "Honestly, I do."

He always says that. Honestly, he does.

First, they need to find a way to beat the Cowboys, who have beaten the Giants three straight times.

"We had a great week of practice," he said. "Everybody did their jobs, running to the ball, interceptions, getting to the quarterback, stopping the run. Those are things we need to do. Special teams need to step up. Offense needs to step up. We've all got to play as one.

"If everybody plays as one, we're going to win this game."

He's said it before. He'll say it again.

One of these times, he may even turn out to be right.