Van Dijk’s fourth league goal of the season and Mohamed Salah’s late effort in second half stoppage time saw Liverpool inch ever closer to a first league title in three decades.
The European champions still have a game in hand on the chasing pack and they face a tricky trip to Molineux to face Wolverhampton Wanderers on Thursday.
With last season’s painful title loss to Manchester City on the last day of the campaign still fresh in the minds of the Anfield faithful, Van Dijk has refused to be drawn into conversations about the final destination of the league trophy come May.
"Everyone wants us to say something about it but we won't get carried away," Van Dijk told Sky Sports. "We in the squad cannot and we won't.
"I think what we experienced last year is something that made our mentality like this. We just want to go one game at a time, trying to stay fit and improve. Even after today, which was a well-deserved, fantastic win.
"We all know how difficult Wolves is, what good tactics they have, the players they have, the manager is fantastic there. What we try to do is prepare very well, make sure we all recover from this, be 100 per cent.
"We all expect it to be a very tough game. It makes it easy to prepare if you know it's going to be tough and you know there will be difficult moments."