Enunwa was arrested early this month after allegedly assaulting a woman and reportedly pleaded not guilty to a domestic violence charge. He hasn't been disciplined by the team and is currently a member of the Jets' practice squad.
The NFL has been in the spotlight over players' issues with domestic violence in recent weeks amid controversy surrounding the case of Baltimore Ravens running back Ray Rice. Rice was released by the Ravens and suspended indefinitely by the league after originally receiving a two-game suspension.
The cases of San Francisco 49ers defensive tackle Ray McDonald, arrested for domestic violence in late August, and Carolina Panthers defensive end Greg Hardy, currently appealing a domestic violence conviction, have also made headlines. The Panthers deactivated Hardy on Sunday.
The NFL announced Monday that it has hired outside advisers and counselors on domestic violence. The league recently enacted a new policy in which first-time domestic violence offenders are subject to a six-game suspension.
Enunwa was New York's sixth-round pick in this year's NFL draft.
- Ben Estes