Goals before half-time by Sadio Mane and Roberto Firmino put the Reds in charge at the King Power Stadium on Saturday, but the Foxes fought back after the interval and pulled one back through Rachid Ghezzal midway through the second period.
However, the visitors remained resolute and held on to become the first Liverpool side of the Premier League era to take 12 points from their first four matches of the season.
Post-match, Van Dijk spoke of his satisfaction at keeping Leicester at bay following Ghezzal’s strike, while also acknowledging the need for improved team performances following the international break.