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The Reds travel to Aston Villa on Monday night before Klopp brings the curtain down on his Anfield tenure on the final day against Wolves.
It will be an emotional occasion for Klopp, his players and Liverpool supporters but the club's hierarchy are continuing to work on bringing in his replacement.
He will however be involved in identifying targets and certain decision-making, alongside incoming sporting director Richard Hughes.
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Reds duo Joël Matip and Thiago Alcântara are set to leave when their deals expire this summer.
Virgil van Dijk, Mohamed Salah and Trent Alexander-Arnold are all out of contract in a year's time and decisions will soon be needed on their futures.
It is unclear how much business Liverpool would be looking to do this summer, given the strict Profit and Sustainability Rules enforced in the Premier League.
Any expensive new arrivals may ultimately have to be funded by high-profile departures, with Salah and Luis Díaz among those linked with moves away.
Slot may well have to be ruthless when it comes to letting players go, something Klopp was not afraid of last summer.
We cannot just close our eyes and do the same again and again,” Klopp told Sky Sports.
The boys know that, that’s one thing I've told them."
Klopp allowed skipper Jordan Henderson to go last summer, with Fabinho also completing a move to Saudi Arabia.