The Reds ended a 30-year wait for a top-flight title with seven games to spare.
And van Dijk says his team-mates want to repeat the feat next season.
He told NBCSN's Men in Blazers: "I'm very proud, I'm very happy to deliver the title for the fans who have been waiting for so long.
"What we try and do is focus on how to be as consistent as we have been this year and try and win every game the following season.
"But we all start from scratch. Everyone is at zero and we all want to go again and try and do it again but it's going to be so tough.
"[The aim is] To retain it. To try and defend it. It's so difficult - we tried to defend our Champions League title this year and we got beat by Atletico Madrid, which was a big blow."