The Daily Mirror claim Jurgen Klopp wants to bring the German World Cup winner to Anfield this summer and they have already begun talks with Dortmund.
Gotze only rejoined Dortmund from Bayern Munich last summer in a £20million deal.
Liverpool have opened talks over a move for Borussia Dortmund star Mario Gotze
But he has failed to hit the same heights he did during his first spell at the club when Klopp was in charge.
The 24-year-old has only made 11 Bundesliga appearances this term, scoring once.
Liverpool were linked with a move for Gotze last summer.
Liverpool training pictures from La Manga training camp
Fri, February 17, 2017
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Mario Gotze worked with Liverpool boss Jurgen Klopp in his first spell at Dortmund
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But he eventually decided to rejoin Dortmund due to the Reds lack of Champions League football.
However, Liverpool will now revive their interest after the midfielder has failed to hold down a starting spot.
The Reds are hopeful of completing a deal and Dortmund are expected to want to recoup the £20m they paid for Gotze last summer.