According to the report, the team hopes it doesn't have to wait more than three weeks for the ruling.
Gordon spoke with NFL commissioner Roger Goodell by phone on Monday as part of his hearing for his appeal. He had previously attended a hearing in New York City on Friday.
The wide receiver returned to Browns practice on Monday. He is appealing a one-year suspension that he received for a failed drug test.
Gordon's appeal was expected to focus on the drug-testing process, arguing that differing results between testing bottles mean the league can't be sure that he tested positive, and that the positive test was a result of second-hand smoke.
GALLERY: NFL PLAYERS WITH THEIR KIDS AT TRAINING CAMPS
- Molly Geary