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Prior to the game on Tuesday night, former Reds midfielder and current Leverkusen manager Xabi Alonso labelled Arne Slot’s side as “one of, if not the best team in Europe” currently.
Liverpool thumped Leverkusen 4-0 to go top of the revamped Champions League table with 12 points from four games.
The Reds are also at the summit of the Premier League standings with 25 points, two points above defending champions Manchester City.
Despite the hype around Liverpool, Van Dijk has urged his team-mates to finish strongly against Aston Villa ahead of the November international break next week.
“Based on the results we are doing very well but I would definitely let others do the talking,” Van Dijk said.
“There is no point in me making statements like this because I know how it works in this world.
“We have to just keep going and I just want to win every game that is in front of us, like each and everyone of us in the dressing room. We know how difficult that is and so far, so good.
“But for example now, we recover and we have to be ready for another big one on Saturday and we have to finish that off good before the international break and then everyone goes in different directions now after that.
“So hopefully everyone comes back fit and healthy and ready to rock and roll for what is a very interesting period. So, it’s all about just keep going.
“We are happy but we want to be happy at the end of the season and that is all about working each day and getting better and working on things that we have to improve because there are still so many things to improve.
“We all know that as players and the manager is very keen to show that too.”
Van Dijk added: “I think the overall performance was good and I think people forget …
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