The deal is expected to become official on Monday.
Jones opened the season on injured reserve after undergoing offseason shoulder surgery. The 6-foot-1, 227-pounder made the Pro Bowl in 2017. He’s been with the Falcons since they drafted him in the second round in 2016 out of LSU.
On Sunday, the Browns were beaten 30-28 by the Los Angeles Chargers, who gained 238 yards rushing after entering the game ranked last in the NFL with 64.5 yards per game.
Chargers running back Austin Ekeler gained a career-high 173 yards, getting 10.8 yards a pop.
Cleveland recently lost linebacker, captain and signal caller Anthony Walker Jr. to a season-ending quadriceps injury and has missed him as a playmaker and leader. The Browns have been playing third-year linebacker Jacob Phillips in Walker’s spot.
Jones has made 83 career starts. He signed a four-year, $57 million contract in 2019 and had been the subject of trade speculation in recent months due to his salary.
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