The Reds ran out 2-0 winners over Burnley on Saturday, the first time they had played in front of fans at Anfield since March 2020.
"Even an early kick-off, to see all the fans back is a big buzz. We all enjoy it," van Dijk told the club's website.
"It's something that hopefully is going to be normal again because we need the fans – whether it's at home games but also the away games, we need the atmosphere of fans.
"We've seen how football is, it belongs to the fans, with the fans. I'm just glad everyone is back."
Jurgen Klopp's side are two from two so far this season, but van Dijk says they must not get ahead of themselves.
"Obviously to win the first two games with no goals conceded is just a good thing, something to build on," he added.
"We're not there yet, we feel that, but the only thing we can do is try to win the game in front of us and that's what we did today.
"We knew it was going to be very tough, it's always been tough against these guys. They play a certain way, they make it very difficult for us and they did today again. A lot of physical battles, a totally different challenge to last week.
"It was good to get the clean sheet again and something to build on, good things. There are some things that should be better, but to win here today with the fans back is just great."
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