The midfielder suffered an injury during the National League Cup tie at Tamworth in August that resulted in the tie being abandoned.
It has been rearranged for Tuesday 16 December.
The Reds have a game in the competition on Tuesday 25 November, at Solihull Moors, which is live on MUTV.
When asked by journalists for an update on Kone's situation, Under-21s coach Travis Binnion replied: "After the international break, we think he will be ready to play, which will be good.
"He has not been able to do contact, which limits the work we can do, but he is back in full training now and we will get a body of training back into him, with contact.