The Germany international is out of contract at the end of the season and is being heavily pursued by Juventus.
He is free to sign a pre-agreement with the Serie A club, but Klopp has ruled out a direct sale before the end of the season.
"He'll stay beyond the winter," Klopp told DAZN.
"Emre is still a young lad but he has developed into a great player and is very important for us.
"Sometimes a player just wants to sit out his contract. That's not cool for the club, but there are moments in which you have to accept it.
"And as long as the player behaves like Emre does, then I have absolutely nothing to complain about. He gives everything he has and identifies with the club."