Van Dijk, who arrived at Celtic Park last summer from Dutch club FC Groningen, was on the shortlist for Scottish Player of the year, which was won by team-mate Kris Commons.
But the 22-year-old did win his first major honour in football as Celtic retained the title for the third year in succession.
And while van Dijk savoured the success, the centre-back admitted he hopes to see the team performing better in the cup competitions next term.
Van Dijk's future appears to be the topic of constant media speculation, along with several other Celtic players, and when asked if he would be at the club next season, he told Sky Sports: "I still have a contract until 2017 but in football you never know what can happen so we will see.
"I've really enjoyed our league campaign which has been great. But in the cups it has been a little bit disappointing this season. I think next season we will do a lot better."
Meanwhile Celtic utility man Charlie Mulgrew claimed winning titles was not easy when "everybody is waiting for you to fail" following the 3-1 victory Dundee United.
Mulgrew said: "It's always good to win the title and lift the trophy. It's harder than a lot of people think at times.
"You are under a lot of pressure and there are a lot of expectations. So we are delighted to have done it in the manner which we did.
"It's not easy winning titles so this was great. It's never as easy as it's made out and the expectations are always there.
"To go through the campaign with just one defeat is very pleasing."