Chelsea, in the grip of a defensive shortage, have kept tabs on the 6ft 1in centre half who impressed in Montenegro's goalless draw against England at Wembley last month.
But Partizan president Dragan Djuric said: "Savic is not for sale. He will stay with this club for at least two years. He is the future of Partizan so we don't want to sell him. Not even for €10million (£8.5m)."