The suspension stems from an incident last year in which Enunwa was arrested for simple assault on his girlfriend at a New Jersey hotel. Domestic violence charges were later dropped in the case.
Enunwa has become a key part of the offense as a blocking receiver after being a sixth-round pick out of Nebraska last year. He has eight catches for 94 yards this season after earning the role as the Jets' No. 3 receiver behind starters Brandon Marshall and Eric Decker.