Despite a tough start to his Liverpool career, van Dijk is now a very impressive part of a team that is hoping to finish second in the Premier League.
And Klopp believes van Dijk has all the qualities to become a club great.
"He's just a good lad, to be honest. That's the most important thing," the Liverpool manager told the club's official website.
"We bought him not because he is a good lad but because he is a good footballer. But being a good lad helps a lot to settle in the team immediately – and that's what he did.
"That he is a good footballer, there was no doubt. Our other four centre-halves are good footballers as well. It only helps. When you have a lot of possession, you need this kind of passing skills in defenders.
"His body language is brilliant, to be honest. He looks like a leader, like a warrior, already like a Liverpool player – that's good news.
"Of course he has helped us, that's why we brought him in."