Amaro, a second-round pick out of Texas Tech in the 2014 draft, will undergo shoulder surgery to repair the tear. He suffered the shoulder injury in the Jets' preseason opener against the Detroit Lions.
As a rookie, Amaro had 38 receptions for 345 total yards and two touchdowns.
All NFL teams must be down to 53 players on their rosters by Saturday at 4 p.m.
- Kayla Lombardo