"It's not looking good," coach Robert Saleh told reporters Friday. "We're still holding out hope, but it's trending in that direction."
The Jets (1-5) are already short-handed on offense, as rookie quarterback Zach Wilson (knee) will not play against the Bengals (5-2). Backup Mike White will get the start over recently acquired Joe Flacco at quarterback.
Davis leads New York in receptions (24), receiving yards (349) and touchdown catches (four) through six games.
Davis, 26, signed a three-year, $37.5 million deal with the Jets in March after playing his first four seasons with the Tennessee Titans. The 2017 first-round pick (fifth overall) has 231 career catches for 3,200 yards and 15 scores in 62 games.
--Field Level Media