The derby will be held after the winter break on February 5.
Ibrahimovic is recovering from lesions on his achilles suffered in the draw with Juventus.
Kessie, meanwhile, suffered bruised ribs and a hip after being forced off in Ivory Coast's defeat to Egypt at AFCON.
The midfielder is due for a scan upon his return to Milan, though there is hope the injuries aren't serious.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!