The talented attacker could be next to join Jurgen Klopp's Anfield revolution.
Jurgen Klopp is believed to be a long-term admirer of the the 20-year old, with the report claiming that he tried to lure the youngster to the Westfalenstadion during his time at Dortmund.
Liverpool manager Jurgen Klopp
Anfield could be the venue where he finally gets his man however, with Bild reporting that the Reds are willing to pay around 33.5 million euros (£27.9 million) to secure his services.
Schalke 04's Max Meyer celebrates a goal against Bayern Munich
Sane is close to a move to Manchester City, according to the Sun, and losing both him and Meyer in the same transfer window would be a massive blow for Schalke.
Money talks however, and the spending power of the Premier League dwarfs that of everyone other than Bayern Munich in the Bundesliga.
Klopp has already added Sadio Mane to his attack this summer and looks set to secure the capture of Newcastle United’s Georginio Wijnaldum imminently - as reported by the Mirror - suggesting that Liverpool could sell a playmaker this summer if they do make a move for Meyer.
Georginio Wijnaldum celebrates after scoring for Newcastle