Roberto Firmino watched a late winner maintained their advantage over challengers Leicester City.
Wilfried Zahas 82nd-minute attack had completed Sadio Manes opener for the people, but Firmino response closed all three points for Jurgen Klopps side.
Leicester also won to keep in touch with the Reds as the goal of Ayoze Perez and a Jamie Vardy penalty earned Brendan Rodgers side a 2-0 win at Brighton.
Pep Guardiolas Manchester City, in fourth, host third-placed Chelsea at Saturdays late night kick-off.
Alexandre Lacazette rescued a stage for Arsenal in a 2-2 draw against unable Southampton to prevent Unai Emerys side falling to back-to-back defeats.
Lacazette had cancelled out Danny Ings eighth-minute opener for both Saints, but James Ward-Prowse looked to have scored the winner.
Nevertheless Lacazette leveller refused Southampton a victory since 15.
It was also a Fantastic day for Norwich City, who climbed from the foot of the Premier League with a 2-0 success against Everton.
The injury-time target of Dennis Srbeny along with todd Cantwell ended a seven-match winless run for Daniel Farkes side, who climb to 19th.
They were replaced by watford .
Before James Tarkowski and Ashley Barnes additional late objectives for the side of Sean Dyche, chris Wood opened the scoring early in the second half.
After defeating Bournemouth 2-1 at Vitality Stadium, Wolves are up to fifth.
Raul Jimenez and joao Moutinho put Wolves in management, and the people Could carry on despite Steve Cooks second-half lifeline for the Cherries.
Jose Mourinho made a start as Tottenham boss for existence as his side survived a late West Ham fightback to make a Premier League away win since 20.
Lucas Moura and son Heung-min had put Spurs in hands however, it was the strike of Harry Kane after the separation which proved the difference because Michail Antonio and Angelo Ogbonna responded for the Hammers.
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