Weren't there quotes from Klopp saying we're in talks?
He said:
“There are talks but, how always, we usually don’t comment further on that. There’s no reason for it. But yes, of course – I am in talks, the club is in talks with Millie, we will see.”
It was a bit vague, not anything specifically about a contract being on the table.
I expect him to leave, if he wants to play more minutes then surely he has too, as he shouldn’t really be starting a lot of games here now let alone next season.