The win extends Jürgen Klopp's side's unbeaten start to the top-flight campaign to 18 matches and takes them further ahead of Manchester City at the summit of the table - at least temporarily, with Pep Guardiola's team meeting Crystal Palace on Saturday. The left-back's deep cross was hacked clear, but only to Salah, who served up a delicious clipped pass that Van Dijk steered home with a controlled volley from close range.
Jordan Henderson - making his 300th Liverpool appearance - returned to the starting line-up alongside James Milner as Klopp made two changes to his XI. "Such a hard game to play, because all the things we want to do, everything you usually do, you take a bit of a risk".
" You will probably need 105 to be champions, you don't know!"
Wolves nearly produced an immediate response to drag themselves back into the game when a mini-goalmouth scramble ended with the ball falling to Saiss, but his snapshot was straight at Alisson. We stopped playing football, and it wasn't the most exciting game anymore but we kept the ball.
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To get a win like that against the best team in the world is going to give them a huge boost of confidence, no doubt. It's a great part of the game, and there was actually a bit of humour, a bit of Aussie humour as well.
"I saw some really good things tonight". It's a good decision to stay in charge of the game, and second half we could do that again.
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The hosts have taken points off Manchester City, Chelsea, Arsenal and Manchester United already this season, but they looked short of ideas in the second half and Liverpool nearly added a third when Patricio thwarted Salah from a tight angle before Mane nodded off target from the resulting corner.
"The win was very important today", the Dutchman told Sky Sports. "I had a bit of a cold, so I wasn't 100 percent". I am completely happy with the result and it is big for us.
While speaking to Liverpool's official website, the 25-year-old midfielder revealed, "The intensity is different from what I am used to (but) I've got into the rhythm of the team and got used to the style of play".