Emre Can’s fourth goal of the season ended Burnley’s stubborn resistance as Liverpool claimed an unconvincing win to strengthen their bid for a top-four finish.
The Reds were far from their best and fell behind when Ashley Barnes turned home Matthew Lowton’s brilliant defence-splitting pass.
Liverpool equalised on the stroke of half-time with their first shot on target when Georginio Wijnaldum poked in at the second attempt.
Can then secured a second-successive victory for Liverpool with a long-range effort into the bottom corner.
Burnley threatened to snatch an equaliser late on but Lowton hooked over from close range.
It was a game of few memorable moments but the win means Jurgen Klopp’s side, who remain fourth, are now five points clear of fifth-placed Arsenal.
Burnley, who are yet to win a game away from home in any competition this season, are 12th.