He played college football at Nebraska, and he was selected by the New York Jets in the sixth round of the 2014 NFL draft.
He finished sixth in the triple jump at the 2009 CIF-Southern Meet, setting a personal-best leap of 13.79 meters.
[17] On October 19, 2015, Enunwa was suspended for four games of the 2015 season without pay due to violating the NFL player conduct policy.
[20] With the Jets being short-handed on tight ends in 2016, the team announced that Enunwa would be the slot receiver and an end-around sweep specialist.
Enunwa posted a quality performance on Thursday Night Football in Week 2 against the Buffalo Bills on September 15, 2016, when he had six receptions for 92 yards in the 37–31 victory.
[26] It was eventually revealed that Enunwa was diagnosed with bulging discs in his neck, and that aftermath of surgery could require from six to nine months to recover.
[31] On September 11, 2019, it was announced that Enunwa would miss the remainder of the season after suffering a neck injury in the first quarter of the Jets' season-opening loss to the Buffalo Bills.