First-half goals from Luis Diaz and Mohamed Salah put Arne Slot’s men in control at the break, but an excellent Matheus Cunha goal on 67 minutes set up a nervy finale at Anfield.
The Reds were able to hold off 17th-place Wolves to claim all three points as they bounced back from the chaotic midweek draw at Everton to remain clear of second-placed Arsenal, who saw off Leicester City on Saturday.
But it was far from a routine victory for Liverpool, with skipper Virgil van Dijk admitting his side were ‘sloppy’ as Vitor Pereira’s team were able to carve out plenty of possession and chances in the final 25 minutes of the Premier League clash.
"We'd love to dominate for the full 90 minutes but it is the Premier League and Wolves can punish you and create dangerous moments against you,” the Dutchman told the BBC’s Match of the Day.
“It says a lot we kept fighting and kept going and got the three points.
"Today showed at times that when we have the ball you can exploit it as well. Cunha was a danger man for them today we had to be aware of. Unfortunately, he scored but we kept them to that.
"I definitely give them credit the way they went one v one most of the times and how they found the free man between the lines.
"At times we were sloppy as well and we couldn't keep the ball as well as we can at times."
Next up for Liverpool is a trip to Villa Park to face Aston Villa on Wednesday evening, before they visit Manchester City next Sunday. Wolves, who remain just two points clear of the drop zone, visit Bournemouth on Saturday.
