Liverpool fell behind again at Anfield, but goals from Mohamed Salah and Diogo Jota secured victory over West Ham at Anfield.
Diogo Jota came off the bench to score a late winner as Liverpool rallied from a goal down to beat West Ham 2-1 at Anfield.
The Portuguese linked up brilliantly with fellow substitute Xherdan Shaqiri five minutes from time to ensure the champions denied their in-form opponents a share of the points.
Liverpool were forced to come from behind after Pablo Fornals' well-taken early goal, which was cancelled out by Mohamed Salah's penalty moments before the break.
The turnaround helped Jurgen Klopp's men prevail as they extended their unbeaten league run at Anfield to 63 games, equalling a club record streak set between February 1978 and December 1980.
As they would have expected, Liverpool started the game by taking complete control of possession, probing a penned-in West Ham defence.
But after holding firm throughout their early examination, the visitors showed that they only needed one chance to get on the scoresheet, Fornals latching onto a poor Joe Gomez clearance and steering the ball in off a post.
Indeed, the Hammers were the best side for large parts of the first half, finding their way deep into opposition territory with worrying regularity from the hosts' perspective.
Still, they could not entirely manage the Liverpool threat and, with a half-time lead seemingly in the bag, conspired to give away a penalty as Arthur Masuaku clumsily clipped Salah, who converted from the spot.