Goals in either half by Mohamed Salah and Xherdan Shaqiri secured three points for Liverpool at Anfield, where Van Dijk and co recorded a 10th clean sheet in the past 11 home league matches.
Having temporarily gone top with the victory, the Reds dropped below pace-setters Manchester City as a result of their success against Manchester United later in the day.
But with only a dozen games played in the Premier League this term, Van Dijk’s approach to the race is simple: do not look beyond the next fixture.
“That is something we still need to see,” said the Dutchman when asked about Liverpool’s title credentials.