However, a Browns team source told Schefter that the team is not looking to trade Gordon.
Cleveland has tried to establish an environment in which the embattled Gordon could thrive, and many around league believe first-year head coach Hue Jackson is the right coach for him.
Gordon, 25, faces a four-game suspension at the start of the 2016 regular season, but the NFL is allowing him to participate in team activities during the ban.
Gordon led the NFL with 1,646 receiving yards in the 2013 season, but was suspended for 27 of the next 32 games for violating the NFL's substance abuse policy. He has 161 receptions for 2,754 yards and 14 touchdowns in 35 career games, all with the Browns.
Information from ESPN Browns reporter Pat McManamon was used in this report.