The Reds' dominance in the match finally paid off as Georginio Wijnaldum put his side ahead in the 39th minute after Tottenham failed to clear their lines from a corner kick played by James Milner.
Erik Lamela pulled a goal back for Spurs but the Reds were not to be denied a fifth consecutive Premier League victory.
Chelsea, though, have also recorded a flawless start after Eden Hazard scored a hat-trick in the 4-1 win over Cardiff City, allowing them to edge past Liverpool on goal difference at the top of the Premier League. We could have scored more and we controlled the game.
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Mauricio Pochettino had accused Tottenham of treating their 2-1 loss at Watford like a "testimonial".
Mane made a good run that caught Tottenham right-back Kieran Trippier out of position before sending over a low cross that Vertonghen diverted against his own post. The first half I think was even and we conceded again from a set piece.
It is only the third time in their history that they've opened up a top-flight season with five wins on the spin and although it's early days, plenty of fans and pundits believe they're the main contenders to Manchester City for the title.
"I have no clue what exactly happened, but it's something with the eye and for sure at the moment it's not comfortable for him, so we will see". "Result is ideal and winning here is so hard, unbelievably difficult", Klopp said.
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However, they were stunned by Watford in their last game before the worldwide break, a result Pochettino said he saw coming. "It was a really outstanding performance that the boys delivered today".
"Now with the Nations League, worldwide managers can not rest players because it is a proper competition".
Not enough to convince referee Michael Oliver that a penalty should be awarded, a retrospective look at the challenge appears to suggest Liverpool were rather fortunate to come out of the situation unscathed. "We need to improve a lot".
Liverpool boss Jurgen Klopp had been concerned about Firmino when he spoke to the media immediately after the Spurs game. "We deserved to win".
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