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Van Dijk told reporters after he signed a new two-year contract at Anfield that he was expecting a "big summer".
The Reds have delivered that so far, with moves for Jeremie Frimpong and Florian Wirtz confirmed and Milos Kerkez on the way.
"I think Liverpool should be able to challenge for titles in the upcoming years," Van Dijk told reporters.
I think they're planning to make it a big summer, so we all have to trust the board as Liverpool-connected fans to do the right job.
"I think we 100 per cent can improve.
In addition to bringing in new players, Liverpool will also have a full summer to work on things having missed out on qualifying for the Club World Cup in the US.
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"This year, there is a training camp and there is time for the team to work on what the manager wants, and I think that will then improve the team.
"There are still so many things to improve, but we shouldn't forget the quality that the Premier League possesses because we see it.
"I think a proper pre-season will definitely help the club in order to be even more consistent than we already have been."
Liverpool.com says: Van Dijk played every game that mattered last season so having a full summer will be vital for him