After the Austrian champions fought back to restore parity at Anfield on Wednesday night, Mohamed Salah then fired home in the 69th minute to get the Reds off and running in Group E.
Although Jürgen Klopp's side are reigning holders of Europe's premier club competition, Van Dijk welcomed the fact improvements can still be made.
The centre-half told Liverpoolfc.com: "Our mentality is that you just keep going no matter what happens.
"If there is a goal conceded or we score a goal, we want to keep doing what we are doing. We want to keep going.