The Premier League champions may have been without key men like Virgil Van Dijk, Trent Alexander-Arnold and Mohamed Salah, but still brushed off a Leicester City side who had won all their games on the road this season.
Jonny Evans’ own gave the hosts the lead inside the opening 21 minutes before summer signing Diogo Jota got Liverpool’s second four minutes before halftime.
After missing a couple of chances earlier in the game, Roberto Firmino redeemed himself by getting the third goal during the dying embers of the game to send Klopp’s team to the summit together with Tottenham Hotspur.
Klopp told Sky Sports: "It was very [satisfying], because we deserved it 100 per cent and the boys played an incredible game against a top, top opponent. Playing like we did tonight, I don't take this for granted.
“The boys were on fire - football-wise - played, and played and played. Jamie Vardy was much deeper than even last season, so that made it more tricky, as we had to bring Gini (Wijnaldum) into possession as well. How the whole team defended from the front was incredible. We should've scored more goals, and that's a top sign for a good game."
Next up Liverpool is a game at home in the Champions League against Atalanta on Wednesday.