Reyaad Pieterse will don the gloves in Khuzwayo's absence at FNB Stadium.
Chiefs said on Twitter: "Player Injuries: Brilliant Khuzwayo fractured his 3rd and 4th fingers just above the knuckles yesterday during training. Speedy recovery.
"Brilliant Khuzwayo will now be out of the Carling Black Label Cup due to the injury and also the upcoming games."