Burgess, 26, started 10 games for the Jets in 2019, seeing action on 60 percent of the team’s defensive snaps for the season.
He spent a week on the COVID-19 list during training camp, with the Jets activating him back to the roster Aug. 13.
Burgess signed a one-year deal to remain with the Jets early in the free agency period. He joined the team as a waiver claim from the Dolphins last May.
Burgess made 80 tackles, an interception, a forced fumble, a fumble recovery and a half-sack in his one season with the Jets.