The Dutch defender wasn't at his best as Liverpool won 4-3 in a chaotic match against their newly-promoted visitors and was slammed by former Reds defender Jamie Carragher - who was commentating on the game for Sky Sports - for his role in Patrick Bamford's goal.
However, Van Dijk defended the error by suggesting mistakes "happen".
He told beIN SPORTS: "It was one of those ... they are situations that can happen.
"I always try to do my best and that's what I did. Unfortunately, a goal came from it but I don't worry about that."
The defender added that Liverpool were expecting an "intense" game against Leeds.
Van Dijk said: "We expected an intense match.
"No one wants to concede goals but it was intense for both teams. We trained for that and we knew that could happen.
"The points are massive of course. They [Leeds] will trouble many teams in the league I think so it was good for us to get the three points. But we still have things to work on."
Carragher had suggested that the player had been over-confident and had "gifted" Leeds a goal.
He said: "That's just too arrogant.
"He tries to flick it around rather than just dealing with it. Maybe that's because it's Leeds United, a new team, and he thinks it's a little bit too easy.
"But Patrick Bamford has been given a gift by that man."