Both teams confirmed the terms of the deal but added that Quinn must pass a physical for the transaction to become official.
Quinn, 32, has just one sack in seven games this season after setting a Bears' single-season record with 18.5 last season.
He stayed away from minicamp and offseason workouts in search of a contract extension but eventually reported in July. He is in the third season of a five-year, $70 million deal.
Bears linebacker Roquan Smith broke down in tears during a news conference when informed about the trade.
The 12-year veteran has 102 sacks and 32 forced fumbles in 163 career games (142 starts).