Diogo Jota (23) and Connor Bradley (39) with his first professional goal made things clear in the first half.
In addition, Darwin Nunez (45+2) only fired a penalty kick at the right post – and Klopp didn't even want to look before taking it.
After the break, former Leipzig player Dominik Szoboszlai (65) explained everything. After Chelsea's goal scored by Christopher Nkunku (71), also a former professional right-back, Luiz Diaz (79) regained the old distance.
With 51 points, Klopp's team is in first place after 22 matches.
Van Dijk on Klopp’s farewell: “He is like a father to us”
Man City without effort – Haaland returns
Liverpool is five points behind defending champion Manchester City, who easily won 3-1 (2-0) over relegation-threatened Burnley during the return of striker Erling Haaland.
However, Pep Guardiola's side played one game less. Arsenal is in third place (46).
Argentine world champion Julian Alvarez gave the Sky Blues the lead (16/22) with a brace, and Rodri (46) decided the match immediately after the break.
In the 71st minute, Haaland appeared for the first time since December 6. The Norwegian had to take a break for about eight weeks due to a stress reaction in his foot.
In the third match in the evening, Tottenham Hotspur and Brentford dueled. In Tottenham's 3-2 win, Timo Werner was allowed to play the full 90 minutes and contributed his second assist of the second game.
Barcelona fans want Klopp to replace Xavi
