Italian agents this week have declared Can has signed a pre-contract agreement with Juventus. His Reds deal expires in June.
But Klopp insisted there is no such deal in place – and the Reds can still persuade the midfielder to sign a new contract before it expires at the end of the season.
“He hasn't said so, I have heard nothing new about that.
"So I think still everything is possible. When we can say something we will, but no decision has been made," Klopp said.