The Serb is currently on-loan with Hertha Berlin, though is unlikely to return next season.
But Mozzart Sport reports a Bundesliga return could yet be on with Gladbach keen, where Grujic can count on Rose as a fan.
For his part, Grujic is likely to push for a permanent move away from Anfield this summer after his success with Hertha. A season on the bench with the Reds is unlikely to convince him to stick around.
Gladbach have been informed by intermediaries that an offer of €20m could be enough to convince Liverpool to sell.