The deal is contingent upon Ellis passing a physical.
Ellis, 34, has spent his entire 11-year career with the New York Jets, who selected the former Tennessee standout in the first-round of the 2000 NFL Draft. The two-time Pro Bowler (2003, 2009) has started 156 of his 170 career games, totaling 499 tackles and 72.5 quarterback sacks.
The 6-foot-5, 290-pound Ellis has played both defensive tackle and defensive end during his career. That versatility, along with his experience, should appeal to Patriots head coach Bill Belichick, who has offered indications that the team intends to once again use multiple fronts this season.