Kenny Dalglish's side produced a fine performance to see off a Wolves side clearly short on confidence to heap more pressure on Mick McCarthy at the Midlands outfit.
The first half was void of opportunities, but the second sparked into life with goals from Andy Carroll, Craig Bellamy and Dirk Kuyt as the away side secured a 3-0 victory.
Carroll opened the scoring in the 53rd minute and it was nothing more than the club deserved, as Bellamy and Kuyt went on to seal the points with Wolves failing to mount a single attack of note in the second period.
Liverpool named an interesting lineup, with Steven Gerrard not even making the bench, allowing Jay Spearing to come into the starting XI. Wolves were boosted by the news that Arsenal loan star Emmanuel Frimpong was back in the lineup following his facial injury against Aston Villa.
In just the fourth minute the visitors were unlucky not to take the lead when Kuyt somehow spurned a one on one opportunity. Bellamy crossed for Carroll who nodded down for the on-rushing Dutchman, but he miscontrolled the ball when he really should have scored.
It was a disjointed start from Wolves but on the quarter-of-an-hour mark they had a great chance through top scorer Steven Fletcher to take the lead. Frimpong retained possession in midfield before spraying out to Kevin Foley, who delivered a near post cross that found Fletcher, though the striker could not get enough power on his glancing volley.
Liverpool once more had a great chance as Wayne Hennessey made a superb reaction save from a Daniel Agger header. From a Bellamy corner the Dane rose highest but was thwarted by the Welsh keeper.
Michael Kightly flashed a powerful volley past the post in a rare moment of excitement in a drab first half. It was a nice build-up play from Wolves and Kightly played a smart one-two with Fletcher before volleying first-time from the edge of the area, but the sides remained level going into the break.
In the 53rd minute Liverpool took the lead as Carroll celebrated his one-year anniversary on since switching to Merseyside with a goal. The visitors deserved to take the lead after Charlie Adam whipped in a cross to the back post, which the striker poked past Hennessey after outmuscling Christophe Berra.
Liverpool doubled its advantage through Bellamy in the 61st minute as he was gifted a free run on goal by a lackluster home defense. The Welshman received the ball just inside his own half before running unchallenged into the area and curling past Hennessey, with the Wolves stopper also questionable in his attempts to save the ball.
Dalglish's men secured the points in the 78th minute as Kuyt ended his long run without a Premier League goal as he slided the ball into the far corner, following a fabulous run from Adma.
After the Dutchman’s goal the game was all but over and Liverpool comfortably played out the final 10 minutes with ease. The Wolves fans were furious with their sides display as they met the final whistle with boos. Make no bones about it – Wolves are in a relegation scrap.