Donahue, released by the Jets after the last preseason game, is a free agent.
A fifth-round pick in 2017, Donahue was arrested twice in a nine-month span. In both cases, he was involved in a car crash.
In May 2017, about a week after being drafted, Donahue flipped his SUV after driving into a parked vehicle in his hometown of Billings, Montana. In February, he crashed his vehicle into a small passenger bus while driving the wrong way through the Lincoln Tunnel in New Jersey.
Per league policy, a two-time offender typically gets a 10-game suspension for alcohol violations, but the discipline can be increased if the commissioner finds aggravating circumstances.
Donahue, 26, voluntarily checked into a rehab center in Jacksonville, Florida, after the second arrest. In August, he pleaded guilty in both cases to drunken driving, saying at the time that he hadn't touched alcohol since before rehab.
He practiced with the Jets in training camp and played in the preseason games.
By rule, Donahue is eligible to sign and practice with a team after Week 12. But he can't play in games until after the 14th week.
Donahue decided not to follow through on an appeal because the process would have taken about a month, meaning the suspension could have dragged into next season if not successful.