NFL Network's Jason La Canfora reports the Browns will receive a third-round pick in April's upcoming draft.
Oakland senior executive John Herrera confirmed the deal, saying Oakland gave up a pick it had acquired in a previous deal. The Raiders had acquired a third-round pick from New England last summer in a deal for Derrick Burgess.
"This gives us a guy who has been a strong presence as a pass rusher," Herrera said. "He has been very productive."
The Browns' decision to deal Wimbley was a bit of a surprise. Last season, he began to show flashes of being the kind of player he was when he recorded 11 sacks in his rookie year.
The 6-foot-3, 255-pounder was drafted in the first round out of Florida State in 2006. He had 6.5 sacks and 48 tackles in 15 games last season and has 26.5 sacks in his career.
Cleveland may use one of its high draft picks to address its pass rush.
The Raiders previously had released defensive end Greg Ellis, who tied for the team lead in sacks last season with seven.
Wimbley can play either end or outside linebacker. The Raiders used second-year player Trevor Scott in that role last season as an outside linebacker/third-down pass rusher. Scott had seven sacks in the role.
Wimbley is the first player Oakland has added from another organization since the start of free agency earlier this month. The Raiders had previously cut four veterans -- Ellis, running back Justin Fargas, receiver Javon Walker and defensive tackle Gerard Warren.
Copyright 2010 by The Associated Press