Rossoneri boss Carlo Ancelotti has struggled with problems at the back, due to several injuries in his team.
“I am much better now, especially compared to my recent shape,” Kaladze told the official Milan website.
“In a few days I’ll start running again and I think that by the end of October or the very start of November, I will be back in the squad.”
He added: “I underwent physiotherapy and don’t want to leave anything to chance over possible relapses. I have been feeling better for at least three days and I no longer sense pain when walking. This leaves me very optimistic.”