The Germany international has been linked with moves away from Liverpool for a long time, particularly since entering the final six months of his contract at the start of January.
Juventus are said to be the favourites to secure Can’s signature if he does leave Anfield, with a move in this transfer window even mooted initially.
But Klopp is adamant Can will not be departing before the end of the month, even if he looks likely to lose the player on a free transfer.
“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.”
A loss to West Brom on Sunday saw Klopp’s Liverpool side dumped out of the FA Cup in the fourth round yet again , continuing a troubling trend for the German manager, with Can among the players who failed to stand out for the Reds in the loss .
With Manchester City 18 points clear of the Reds in the Premier League, the Champions League is the club’s last realistic shot at a trophy this season.
Liverpool face Porto in the round of 16 next month.