The Reds have already lifted the Carabao Cup in February.
They are in contention to win the Premier League, Champions League and also the FA Cup this season.
They are just a point behind league-leaders Manchester City with six games remaining for the season.
They recently beat Pep Guardiola’s men to secure the spot in the finals of the FA Cup where they will face Chelsea.
Van Dijk knows what it means for the club, the players and the fans if they manage a quadruple this season.
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“Nobody did the quadruple and there is a reason for it – because it is almost impossible to do,” Van Dijk said.
“All this talk about quadruple or Treble is from the outside world and could put extra pressure on us,” added Van Dijk.
“It is something that everyone would dream about, to win every competition you participate in, but we will see what it brings.
“Anything can happen, with other teams as well.”
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