Ok so yeah it may be possible that he may leave but it would be for the better of his skills.
According to Hayden Wetmore(writer for Scarlet and the Game) these are his thoughts
Would J.T. Barrett leave Ohio State?
Yeah, you read that right. I think there is a legit chance that JT Barrett transfers after the season. You’re probably thinking: “What? Why? Where?” and thinking that I’m an idiot, but let me plead my case.
Tom Herman is the head coach at Texas now. It’s no secret that JT Barrett was a drastically better player with Tom Herman as the OC in Columbus. Since his departure, Barrett’s passing stats have taken a serious hit. Tom Herman and JT Barrett go together very, very well.