The person, who spoke on condition of anonymity Sunday because the Giants haven't announced the agreement, told The Associated Press that the two sides had reached a deal. It covers three years and is worth $8 million.
Free agents can't get new contracts until March 12, but Jenkins had no such restriction because he had been cut by Philadelphia.
The Giants, who missed the playoffs in 2012 after winning the Super Bowl the previous season, finished 31st in defense last season. They have cut veteran tackle Chris Canty and linebacker Michael Boley and reworked cornerback Corey Webster's contract this week.
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