So far, they've played without the services of injured attacking midfielder Philippe Coutinho, whose exploits from last season saw Barcelona put forward heavy bids - reaching a staggering £138 million.
Klopp's Reds were mauled 5-0 by Manchester City on Saturday, following Sadio Mane's controversial red card, but return to European action on Wednesday night with a home clash against old foes Sevilla.
Today though, the two South American global rivals teamed up in scintillating fashion, scoring three out of City's five goals between them, their best moment coming when the two tore down the middle to score the third goal and finally break Liverpool backs.
Coutinho has not yet played for Liverpool this season, with the club citing a back injury, but he joined up with his national side for World Cup qualifiers and made two substitute appearances against Ecuador and Colombia, scoring against the former.
Benjamin Mendy, Kyle Walker and Danilo did not come cheap but add much-needed dynamism that the long-serving Pablo Zabaleta, Gael Clichy and Aleksandar Kolarov were no longer able to provide. They began with both Sergio Aguero and Gabriel Jesus up front but just the latter played last time out.
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"I wasn't impressed with them at Watford - they've conceded eight goals in two away games". Then it would have been different I would say.
"And you have to hope that they don't score - that's not about what we do". However, we do have quite an array of attacking options so I think we should be happy with the players we have got.
Both sides have had a successful summer transfer window and with key additions in both the teams, both sides will aim to stay in the hunt for the Premier League title as early as possible.
Despite suggestions of defensive frailties in Liverpool's defence, Klopp's rearguard have only conceded 17 goals from head-to-heads during the period - fewer than any other top team. In my time here, I know how the country thinks about tradition. Now is the time for him to show the team is ready to face everything'.
Klopp has previously stated that Coutinho would be welcomed back into his fold, with Liverpool remaining firm in their stance that the player would not sold, having rejected three offers from Spain.