The Hammers leapfrogged Liverpool into third place on the table as both teams head into the international break.
Asked about his reflections on the game by Liverpool's website, van Dijk said: "It's a proper knock. We have to pick ourselves up and make sure we are ready after the international break.
"It was an intense game, I think first half there was nothing really wrong. We played OK, I think in moments played well.
"We tried to find the spaces in between their lines and obviously they defend well. We had to be patient and scored the deserved equaliser, in my opinion, then second half we were a bit too rash maybe.
"We wanted maybe to score the 2-1 a bit too much. Obviously they gambled on the counter-attacks with leaving players up, that's obviously a strength of them and then it was quite an open game."
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