"Oday was pulled over for a traffic stop in Morris Plains, New Jersey, on Jan. 10," Aboushi's representatives said in a statement obtained by NFL Media Insider Ian Rapoport. "During the stop, police recovered a very small amount of marijuana from his vehicle. Oday accepted responsibility for the traffic infraction and all other charges were dismissed."
A fifth-round pick in the 2013 draft, Aboushi is currently fighting for a roster spot after starting 10 games for the Jets last season.
"I apologize for my actions and understand the repercussions," Aboushi said in a statement. "This is something I've learned from and I'm focused on moving forward."