But he insisted today: "There will be a big transition and I am part of that.
"I think the club is very much busy with who is going to be the new manager and that is the main focus.
"Like I said I am very happy here, I love the club and you can see that as well.
"It's a big part of my life already, and that is all I can say.
"There will be a lot of changes happening and, I wouldn't say scary is the right word, but it is quite interesting and exciting what will happen now."
On Klopp, who will be replaced by Dutchman Arne Slot, Van Dijk said: "I am really proud I played for him, fought for the badge and him and count the success we had over the years as well.
"It will be emotional on the last day but it is a part of life sometimes. Many things are happening behind the scenes but we focus on matchdays and that is our duty, our job and we want to perform for the last six points."