The Dutch centre-back capped a brilliant display with his first Premier League goal for the club, adding to Mohamed Salah's first-half opener, as the Reds moved four points clear at the top.
Despite feeling under the weather, Van Dijk made himself available for the match to ease Jurgen Klopp's defensive crisis, with Joe Gomez, Joel Matip and Trent Alexander-Arnold all out injured for the start of the busy festive period.
Van Dijk was happy to play his part in another important victory for Liverpool - their seventh in a row in the league - which ensured they will be top at Christmas, regardless of Manchester City's result against Crystal Palace on Saturday.
"It was a tough day for me as I had a bit of a cold and wasn't 100 per cent," he told Sky Sports.
"These nights are very important for us. We won here and that is a big step for us. The win was very important.
"Wolves are very good, which they have shown all season. We lost the ball too easily a couple of times in the first half and they did well.
"Credit to them but we won the game and that's always the most important thing.
"Teams are getting dangerous but it's how we react. There were a couple of moments where Wolves were dangerous, but we dealt with them well.
"All my [defensive] partners are very good and it is a joy to play with all of them. I'm enjoying every minute of it and have been all season.
"We've got Joe and Joel out for now, but Dejan [Lovren] is doing fantastically and has been since I came here anyway."
"He’s our number four..." pic.twitter.com/8M48pd6831— Liverpool FC (@LFC) December 21, 2018
Liverpool manager Jurgen Klopp also praised Van Dijk, noting he is in "a good moment" though he also made sure to credit the entire backline and two defensive midfielders for their role in the clean sheet.
"I have no problem talking about individual performances, we do this constantly – but to the players, to the specific players. He is in a good moment, he is very important for us and hopefully he can stay like this," Klopp told a news conference.
"The work rate in general is just outstanding. I love the boy, but the two in front of him [Fabinho and Jordan Henderson], what they have to cover, they have to run much more to make life halfway comfortable for the centre-halves, so they did well.
"Dejan [Lovren] as well, playing after he had not a perfect pre-season and all that stuff, but now having game after game and that's all good. Without that, we don't have a chance.
"We won, deserved, and Virg played a proper part in that."