Gordon, whose season-long suspension by the NFL was upheld on Wednesday, asked the Browns for permission to play for the Calgary Stampeders, a person familiar with the Pro Bowler's situation told The Associated Press on Thursday. However, a CFL rule that has been in place since 2006 bars any suspended NFL players under contract from playing.
The person spoke on condition of anonymity because of the sensitive nature of the talks.
CFL spokesman Jamie Dykstra said the only way Gordon could play in the league is if he was released by the Browns and became a free agent. Former Indianapolis wide receiver LaVon Brazill, serving a four-game NFL drug suspension, signed last week with Toronto after being cut by the Colts.
The CFL's board of governors adopted the rule eight years ago after suspended running back Ricky Williams played one season for Toronto.