Jurgen Klopp’s side made it seven wins from their opening seven after Georginio Wijnaldum’s volley squirmed past Sheffield United goalkeeper Dean Henderson to seal a narrow win in Saturday’s lunchtime kick-off.
Chelsea beat Brighton, West Ham drew at Bournemouth, Tottenham edged past Southampton and Crystal Palace beat newcomers Norwich.
Champions Manchester City round off the day with a hard-fought 3-1 win over struggling Everton.
Results:
FT: Sheffield United 0 vs Liverpool 1
FT: AFC Bournemouth 2 vs West Ham United 2
FT: Aston Villa 2 vs Burnley 2
FT: Chelsea 2 vs Brighton & Hove Albion 0
FT: Crystal Palace 2 vs Norwich City 0
FT: Tottenham Hotspur 2 vs Southampton 1
FT: Wolverhampton Wanderers 2 vs Watford 0
FT: Everton 1 vs Manchester City 3