The Reds made the trip to the promoted side knowing that a victory would help Liverpool FC to secure top spot in the Premier League table for Christmas Day.
Mohamed Salah broke the deadlock in the first half when summer signing Fabinho found the PFA player of the year with a precise cross before the striker flicked his finish past Wolves goalkeeper Rui Patricio.
Liverpool FC centre-half Virgil van Dijk produced a composed performance at the back despite his defensive colleagues not being at their best at Molineux Stadium.
The Netherlands international scored his first Premier League goal for Liverpool FC in the second half when Salah’s deep cross found Van Dijk, who placed a finish into the net.
And the wife of Liverpool FC owner John W Henry, Linda, took to Twitter to reflect on big win in the Premier League title race.
Pizutti wrote on Twitter: “Amazing. Liverpool remains undefeated and at the top of the table. Another clean sheet victory and three points today over the Wolves. Brilliant goals from Salah and VVD. Up the reds!”
Former Liverpool FC winger Luis Garcia was pleased to see Salah on the score sheet at Wolves.
Garcia wrote on Twitter: “3 more points and another clean sheet.
@LFC 2 vs Wolves 0 Still no defeat and Salah being Salah !! #YNWA #TopoftheTable”
The four of the last five teams to top the table on Christmas Day have gone on to win the Premier League title, with Brendan Rodgers’ Liverpool FC side the only club to finish without the top-flight crown.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news