The win gives Jurgen Klopp’s men 24 points from 11 matches, same as Spurs who beat Arsenal 2-0 earlier in the day.
Mohamed Salah opened the scoring before the half-hour mark when he pounced after a misplay by a Wolves defender in the 24th minute.
Salah’s goal was his 84th in the Premier League — equaling the total Cristiano Ronaldo scored during his days with Manchester United. Salah needed just 131 games to accomplish the feat, 65 fewer matches than the Portugal captain.
Georginio Wijnaldum added some gloss with a fine goal in the 58th. The Netherlands midfielder, picked out by a wonderful Jordan Henderson long ball, firing confidently into Rui Patrício’s top corner from the edge of the area.