NFL Network, citing sources, first reported Wilfork was seeking his release.
Wilfork is in the final year of his contract and was scheduled to earn a base salary of $7.5 million and count $11.6 million against the salary cap. Sources previously told ESPNBoston.com that the Patriots recently approached Wilfork about altering his contract.
Wilfork, a team captain who joined the Patriots as a first-round draft choice in 2004, was limited to four games last season because of a torn Achilles.
The 32-year-old is a five-time Pro Bowler and has been one of the NFL's premier run-stuffers, displaying uncommon athleticism for a player his size (6-foot-2, 325 pounds).
He's also been a fixture in the area, earning the team's community service award in 2010.