As Rapoport revealed, the deal is for a conditional fifth-round pick, which can mean a few different things.
Gordon, 27, originally joined Cleveland as a second-round draft pick in the 2012 supplemental draft.
The Browns made it public over the weekend they were planning to release him after the sides reached a point where the team said it was best to move their separate ways.
The Browns lost some of their leverage with Gordon after they announced Saturday the wide receiver would be released this week due to a loss of trust.
Josh Gordon could be a great asset for the Patriots | Source Ken Blaze-USA Today Sports
Josh Gordon, who spent six years with the Browns organization, battled through a lot of off-field issues.
Gordon's tantalizing talent had caused the Browns to hang onto him while he dealt with drug and alcohol dependence dating his teens. The receiver has missed a total of 54 games over the past four seasons (2014-17) due to multiple National Football League suspensions.
However, after that Pro Bowl season, Gordon was suspended for 44 consecutive games dating back to the final week of the 2014 season, which was a team ban for reportedly missing a walk-through prior to a trip to Baltimore to play the Ravens.
He sat out the first 11 games previous year before returning for Cleveland's final five games, and caught 18 passes for 335 yards and one touchdown.