Jones, arrested in July on cocaine possession charges, appealed the three-game suspension handed down earlier this season.
"I'm glad to get that part done," Jones said Friday. "Now we're just waiting on the final decision and that's all I can say about it."
He said the hearing in New York lasted "a few hours."
Jones, the teams leading receiver with 62 catches for 727 yards, said he was given no timetable on the decision, but believes the league hands down suspensions on each Monday or Tuesday.
Jones, a 2005 first-round draft pick, entered a drug treatment program in November in hopes of erasing a felony cocaine charge in Arkansas. He was arrested and charged with one count of cocaine possession after a Fayetteville police officer saw the former Arkansas quarterback inside a parked car allegedly cutting up cocaine with a credit card. The charge carries a maximum sentence of 10 years in prison and a $10,000 fine.
Jones pleaded not guilty to the charge, then prosecutors agreed to move the case to drug court.