Winston did not play in the second half of the Bucaneers' 30-10 loss to the New Orleans Saints on Sunday after landing on his right shoulder following a tackle.
As quarterback, Ryan Fitzpatrick gets ready to make his first start as a Buccaneer.
Winston has been dealing with an AC joint sprain and a rear deltoid issue and missed the second half of their loss to the Saints on Sunday after re-aggravating the injury.
The injury forced him to leave the game. Coincidentally, the Jets' starter will be former Bucs quarterback Josh McCown.
Fitzpatrick, 34, completed 8 of 15 passes for 68 yards and a touchdown in relief of Winston on Sunday.
Before this week, Winston had only thrown one day a week because of the injury. Evans will be subject to league discipline for the event, but Winston defended his reaction after Lattimore pushed him. Tampa Bay's bye week was supposed to land in Week 11, but Hurricaine Irma pushed it up to Week 1, when the Dolphins game was rescheduled. All in all, a bit of rest might help heal up more than just an injured shoulder. "I'm not doing a good job right now".
The Bucs also plan to activate third-string quarterback Ryan Griffin, who is on injured reserve but can return.