The New York Giants have freed up cap space and will attempt to re-sign Jason Pierre-Paul before the defender hits the free agent market.
Rashad Jennings and Victor Cruz were released on Monday.
"I do expect them to make a legitimate run in the coming days and weeks," NFL Network's Mike Garafolo said. "They will try and get a deal done before he can potentially hit the free agent market."
Pierre-Paul said last month that he will not accept another one-year contract.