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The Reds have reportedly been in discussions with Crystal Palace about a potential transfer for England international Marc Guehi.
Despite securing a thrilling 4-2 victory over Bournemouth in their Premier League opener on Friday, thanks to two late goals from Federico Chiesa and Mohamed Salah, Liverpool's defensive performance was criticized.
Arne Slot's side also let in two goals against Crystal Palace in the Community Shield.
The Reds have already brought in a fresh face in defence, signing young talent Giovanni Leoni from Parma.
We have to keep working, that's the main thing, trying to keep clean sheets.
"We conceded two goals in a transition moment where we have to do better.
Marc Guehi is still a potential option for the Reds this summer
Van Dijk's remarks follow Palace chairman Steve Parish's admission that they might be compelled to sell Guehi this summer to prevent losing him for nothing next year
Joachim [Andersen] went [to Fulham last summer] and we couldn't afford to lose both.
"We then had another bid [for Guehi] in January but that was a different situation