With less than six months remaining on his contract at Schalke 04, Goretzka is widely expected to move on during the summer and Bayern are regarded as the favourites to secure the signature of the German international.
However, despite the speculation surrounding Goretzka's future, Rummenigge has insisted that no deal has been reached with the 22-year-old.
Rummenigge told Sky in Germany: "You only have an agreement, when the contract is signed and the player passed the medical tests. We are not that far yet.
"Now the player has to decide, I heard the decision will be made within the next days, so before the end of January. Of course it would be very nice, if he decides to join Bayern Munich."
Liverpool have also been keen to sign Goretzka but as it stands, it appears that Goretzka is favouring a stay in his homeland.