The Austrian youngster has impressed for Red Bull Salzburg since making his first-team debut in 2010.
The Liverpool Echo reports that Brendan Rodgers is set to step up his efforts to land the Austrian under-21 international in January.
Liverpool signed defenders Kolo Toure, Aly Cissokho, Tiago Llori and Mamadou Sakho this summer, but are still keen to add to their defence in January.
Liverpool face competition from Arsenal and Juventus in the battle to sign Hinteregger. The Italian side have watched Hinteregger in action in recent weeks.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.