The reported move comes two days after Bears defensive end Dayo Odeyingbo sustained a season-ending Achilles injury in their 47-42 victory over the Cincinnati Bengals.
Tryon-Shoyinka, 26, signed a one-year contract with Cleveland after spending his first four seasons with Tampa Bay. The Buccaneers used the 32nd overall pick of the 2021 NFL Draft on Tryon-Shoyinka, who had 138 tackles, 15 sacks and two forced fumbles in 66 career games (45 starts) with the team.
Tryon-Shoyinka has nine tackles without registering a sack in eight games (no starts) this season with the Browns.
