Quarterback Jameis Winston will miss the Jets and Dolphins games with a shoulder injury but there is no timeline for his return, meaning he could be out for "an extended period," general manager Jason Licht said Sunday.

Winston saw his streak of 40 consecutive starts to begin his NFL career end Sunday when he was held out in favor of Ryan Fitzpatrick against the Jets.

Licht said Winston has no new structural damage to his shoulder, which was originally diagnosed as an AC joint sprain. He visited orthopedic surgeon Dr. James Andrews on Tuesday.

But the Bucs were 2-6 entering Sunday's game, and Licht said the importance of Winston to their future means the team will be cautious.

"We're going to give it two weeks here to see how things settle down but there is no time line on this," Licht said during the Bucs pre-game radio show. "This may be an extended period. There's no new information. It's still the same injury that we've diagnosed and had all of our doctors that do a great job with it. But this could be an extended situation. What is best for our future, because he is our future and we're going to make the best decisions we can medically to ensure that he is our future."