Grujic is coming off the back of a superb season on-loan with Hertha Berlin, where he is wanted for next term. Werder, meanwhile, are also eager to sign the Serb.
However, a spokesman for Grujic's management team told WAZ: "That remains only rumours."
Along with Hertha and Werder, Eintracht Frankfurt are also keen on Grujic.
The final decision will be left with Reds boss Jurgen Klopp, with claims on Merseyside that he'd be willing to sell.