Cutler took a shot from Jets outside linebacker Jordan Jenkins early in the third quarter and was helped to the sidelines. Cutler was taken into the locker room soon after for further evaluation. Miami backup quarterback Matt Moore entered the game for Cutler.
Moore threw for two touchdowns in Cutler's absence, rallying the Dolphins from a 14-point fourth-quarter deficit. Kicker Cody Parkey kicked a 39-yard-field goal in the final minute after Jets quarterback Josh McCown threw an interception deep in his own territory.
Left tackle Laremy Tunsil also left Sunday's game in the third quarter with an injury to his left knee.
The Dolphins are no stranger to quarterback injuries. Former starting quarterback Ryan Tannehill suffered a season-ending knee injury last August, which spurned Miami to sign Cutler out of retirement with a one-year, $10 million contract.