Dutch defender Van Dijk was helpless to prevent Spanish giants Barcelona romping to a 6-1 win in the Nou Camp on Wednesday night.
The record defeat was a miserable end to this season's Champions League campaign for the Parkhead club, as the Hoops finished bottom of Group H.
But the Scottish champions' centre-half is confident they can atone for the flop by maintaining their unbeaten run in the top flight, which now stands at 15 games.
He said: "The most important thing was to win the game against Hibs. That was the only positive thing about the game.
"To go from a game in Barcelona to a game on Saturday is difficult. It is always difficult after a big European game.
"But we have to move on. That is what I have done personally. I think the win over Hibs showed there is mental strength in this team.
"We now have to focus on our league and cup games. Going through the league unbeaten is something everybody dreams of. We want to do it and we are going to try our best.
"I think it is possible. But we have to work hard and not underestimate any team. We know what we are capable of."
Van Dijk is confident that Teemu Pukki can supply the firepower to ensure Celtic are successful in their quest.
The Finn netted his first goal in 15 outings against Hibs and his team-mate is positive it is a taste of things to come.
He said: "I hope it is the first of many from Teemu. He is a good player and I am sure he will score a lot of goals."