Should the Reds pick up three points, they will move second, ahead of Manchester United - temporarily at least.
Marco Arnautovic carried the sporadic first-half attacking threat for the Hammers and attempted an audacious chip from the corner of the box only to see Liverpool goalkeeper Loris Karius get fingertips on the ball before it struck the underside of the crossbar.
As you would expect, he failed completely, and Liverpool fans found it absolutely hilarious.
London Feb 23 Jurgen Klopp said Friday he is "absolutely not happy" with Liverpool's season so far despite his team's rich vein of recent form. And it was nearly an explosive start from the Reds - Hammers goalkeeper, Adrian, pushing Mohamed Salah's low attempt onto the foot of an upright, this after James Milner had offered the tricky Egyptian a sight of goal.
Adrian raced off his line to try to intercept, but Firmino was too quick and his touch took him past the visiting goalkeeper before he slotted into an empty net in front of the Kop.
West Ham striker Mikhail Antonio pulled a goal back for the Hammers after coming on as a substitute for Manuel Manzini.
Jordan Henderson of Liverpool and Mark Noble of West Ham United compete for the ball during the Premier League match between Liverpool and West Ham United at Anfield on December 11, 2016 in Liverpool, England.
Here are the player ratings from the game.
Emre Can was also on the scoresheet, rising highest to nod home a Salah corner in the first half.
West Ham recently announced that Moore's time capsule is to be re-buried underneath the former location of the Upton Park centre circle 25 years on from his death. This time comfortably fielding Virgil van Dijk's goalbound header from Milner's pinpoint flag-kick.
West Ham manager David Moyes has now not won at Anfield in 15 attempts, taking in coaching stints at Everton and Manchester United. He also bagged an assist, putting Firmino through to get Liverpool's third of the afternoon.
Matip, Oxlade-Chamberlain and Emre Can were the players returning to the Liverpool line up after a 10 day break. Had a decent long-range shot saved. The Reds will be refreshed as they take on the Hammers on Saturday. Missed two one-on-ones in the match before finally scoring from a Robertson cross. Things nearly got off to the flawless start just two and a half minutes in when Mohamed Salah combined well with Roberto Firmino, only for the Egyptian's shot to crash off the post. He did, however, get his goal in the second-half - getting the ball low, allowed enough time to look up, and tucking it past Adrian to put Liverpool 2-0 up.
We're running out of superlatives to describe Liverpool's star trio of Mohamed Salah, Roberto Firmino and Sadio Mane.