The 27-year old has talked up the sole representatives in the competition from his homeland, stating that the Reds may want to avoid the Amsterdam club in the next round of the competition, following the Eredivisie side sealing their progression with a 5-3 aggregate victory against defending champions Real Madrid in the last 16.
Van Dijk also gave his prediction for the draw whilst speaking to Veronica TV (as reported by the Metro) after scoring in his teams 3-1 victory at Bayern Munich, which confirmed Liverpools place in the last eight.
Van Dijk said: "I really don’t care at all but we will probably draw an English club again.
"Ajax? That would be a nice game. But it would be difficult because Ajax is doing fantastic in the Champions League."
The Dutch international has become a key player in Jurgen Klopps side since joining the Merseyside club from Southampton in December 2017, proving heavily influential as the club continue to battle for silverware domestically as well as on the continent.
The Liverpool number four has played 37 times in all competitions this season, scoring four goals in the process, including his header which gave Liverpool a 2-1 lead in Munich - which between two Sadio Mane strikes - sealed an impressive victory at the Allianz Arena.
During last seasons quarter finals, Liverpool did draw English opposition, with Jurgen Klopps team cruising past Manchester City 5-1 on aggregate on their road to the final in Kiev.