The 22-year-old midfielder has been catching the eye of big clubs through his performances in Germany.
Liverpool were keen on Kone in the summer transfer window and although they did not sign him, they continue to watch him in advance of a possible swoop.
Kone has a contract until 2026 with Gladbach but it has been claimed that the player has made a decision over his future.
According to German daily Bild (via Fussball Transfers), the midfielder has made it clear to the German club that he wants to move on, something that will boost Liverpool’s hopes of signing him.
Kone, through his agents, has informed Gladbach that he is prepared to move on in the near future.
It is unclear whether the midfielder is pushing for a move in January or is prepared to wait until the summer.
However, it is clear that the player feels ready to move on to bigger things from Gladbach.
Whether that will spur Liverpool into action in the rapidly approaching January transfer window remains to be seen.