Chelsea boosted their top-four hopes as Mason Mount’s first-half strike inflicted a fifth straight defeat at Anfield for champions Liverpool.
Thomas Tuchel’s side dominated the first half and thought they’d scored through Timo Werner in the 24th minute, but the goal was ruled out by VAR after an extremely tight offside call.
However, Chelsea’s dominance did eventually pay off when Mount fired past Alisson to give the visitors a deserved lead.
Liverpool showed more urgency after the break, but they struggled to find their fluency in attack and failed to create many clear-cut chances as Chelsea held on for what could prove to be a crucial three points in the race for Champions League qualification.
Victory sees Chelsea, who continue their unbeaten start to life under Tuchel, move up to fourth ahead of another crucial game against Everton on Monday (kick-off 6pm).