Klopp wanted Benteke at Dortmund, but was put off by his asking price. He was also a huge admirer of Roberto Firmino. I expect Klopp to come in and trim the fat, like Joe Allen, Dejan Lovren, Jose Enrique, and maybe Lallana if he can't adapt to his style of play.
Klopp has informed LFC he wants the job, but personal conditions will have to be met (BBC) Don't see Liverpool letting this slip away. They want the manager in place prior to the Tottenham match. Bet Klopp is announced this week, early next week at the absolute latest.
Most likely it's like the Suarez situation. De Gea knows he's going to be at United for a little while, so he signs an extension that pays him more money while he's there, probably includes a sizable buyout clause, and RM activates it next summer. Everyone wins.