Sadio Mane scored the only goal of the game in the 42nd minute, slotting it past Rui Patricio after it bounced off Adam Lallana’s shoulder in the box.
There was a lengthy VAR review for handball from Lallana before referee Anthony Taylor eventually confirmed the goal.
Wolves then had a goal disallowed by VAR for a marginal offside by Joao Moutinho after Pedro Neto had drilled his shot into the bottom left corner on the stroke of half-time.
Liverpool had chances to extend their lead – Mohamed Salah and Roberto Firmino coming close either side of the break.
Diogo Jota had two big chances in the second half – the first a shot from a tight angle in the box which flew wide of the right post, the second a fgift from a Virgil van Dijk mistake which he hit straight at Liverpool keeper Alisson.
Liverpool take their points tally to 55 points and 13 points ahead of second-placed Leicester City.
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