Gregory agreed to a one-year deal with the Buccaneers on Wednesday, Scott Smith of the team's official site reports.
Gregory will reunited in Tampa with outside linebackers coach George Edwards, whom the 2015 second-round pick played for while both were with the Cowboys. The addition of the 31-year-old will bolster Tampa Bay's edge rotation, with Gregory coming off a 2023 regular season in which he recorded 20 tackles and 3.5 sacks in 16 games between the Broncos and 49ers.