McCown, 38, is in the midst of the best season of his 15-year career. But it's not clear if he'll be able to finish out the campaign after breaking his left, non-throwing, hand.
McCown, who had taken every snap for the Jets this season, was sidelined briefly after suffering a hip injury in the first half.
His hand was broken when he was knocked to the ground by Broncos linebacker Shane Ray an instant after releasing a pass.
"When I threw, I got hit and kind of got rolled up," McCown said. "He kind of rolled over me and either a knee or a foot or something of his caught my hand and it bent funny. I knew when it happened something wasn't right."
Jets head coach Todd Bowles said he didn't know if McCown would play again this season.
"We've got a couple more tests to run. I don't know for sure. We'll see," Bowles said.
McCown said he'll do whatever he can to be ready for the Jets' last three games.
"I want to finish with these guys," he said. "If I can be out there, I'd love to be out there."