Wilfried Zaha looked to have rescued a point for the Eagles with his clinical finish in the closing stages but, almost immediately, Roberto Firmino smacked in a loose ball to make it 12 wins out of 13 for the Premier League leaders.
“Very important and very massive," Van Dijk's told Liverpoolfc.com.
“Obviously everyone knows how tough it is to come here against a very well organised side after the international break, and we were very happy with the three points.
“If you are prepared to suffer setbacks, because in the games that will happen, it's about how you react and so far we have been doing that pretty well.
“Obviously we try to minimise the setbacks in the game, we tried to not concede and today they scored the goal. We had opportunities to score a second and it's how you react, and so far we have been doing pretty well."