But Gordon Strachan is hoping to persuade him to change his mind.
The 29-year-old's temporary move to the Riverside Stadium from Premier League side Stoke only has three weeks left.
Kitson insisted on his arrival that his stay would not be permanent.
Gordon Strachan: "If a player enjoys playing football every week and they are playing the type of football you like, then he is happy.
"I would like to think that if we can do that, then Dave will think again."