Klopp’s current deal at Liverpool is set to expire in 2024 and he has been indicating that he will be taking a sabbatical after his current contract runs out.
The German is the longest-serving manager in the Premier League at the moment and has been at Liverpool since October 2015.
But there are indications that the 54-year-old would be open to a longer stay at Anfield given his success on Merseyside and the messiah-like image he enjoys at Liverpool.
And it has been claimed that negotiations have begun between his agent and Klopp over a new contract.
The Reds want to offer him a new and improved deal for four more years, which would extend his stay until 2026.
Liverpool do not want to lose him and their preference is for Klopp to stay beyond 2024 at the moment.
Klopp has felt reinvigorated as his side chase an unprecedented quadruple at the end of the current season.
The Reds are hopeful that they will not have to search for a new manager in 2024 and the German will agree to sign a new contract.