That means another team would have to give up a first- and third-round pick to sign either free agent — at least under the current collective bargaining agreement. But the players' situation could change depending on the outcome of the NFL's labor negotiations.
The 31-year-old Jenkins, acquired by the Jets in 2008, has missed most of the past two seasons with major knee injuries.
"I had an absolute ball in New York," Jenkins said in an e-mail to The Associated Press. "I don't know what the future holds for my career as of yet, but I am in great spirits and still rehabbing to give it one more shot if possible. I just appreciated the opportunity I was given."
New York tendered wide receiver Brad Smith (second-round level), quarterback Kellen Clemens (third round), safety Eric Smith (third round), cornerback Drew Coleman (sixth round), kicker Nick Folk (sixth round), offensive lineman Rob Turner (right of first refusal) and safety James Ihedigbo (right of first refusal).