The meeting, which took place at Endfield, ended with a score of 1: 0 in favor of the guests.
The victory for Chelsea was brought by the goal of Mason Mount, who distinguished himself in the 42nd minute.
Thus, Chelsea extended their unbeaten streak to eight matches, and climbed to fourth place in the Premier League standings, gaining 47 points.
Liverpool have suffered their fourth home defeat in a row, with 43 points - the seventh.
Earlier it was reported that Everton beat West Bromwich in the Premier League match.