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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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.