The extension gives Brady and the NFLPA until May 23 rather than May 9 to file with the Second Circuit Court of Appeals. The NFL's request to deny the NFLPA's motion was refused.
Brady's four-game suspension handed down by NFL commissioner Roger Goodell was restored last month after a three-judge panel declared that the punishment was within Goodell's power.
The incident, which was dubbed Deflategate, occurred before the AFC Championship Game against the Indianapolis Colts in January 2015 when Brady allegedly had a role in intentionally letting the air out of footballs. The Patriots won that game 45-7 and advanced to the Super Bowl.
A ruling for a rehearing after an appeal is rare, and if granted, time-consuming while attempting to persuade the federal appeals court to overturn the ruling that backed Goodell and the league.
Theodore B. Olson, a former U.S. Solicitor General, was retained by the NFLPA to defend Brady.