The Amakhosi captain was stretchered off the pitch during his team’s goalless draw against Abafana Bes’thende at FNB Stadium after suffering what appeared to be a concussion.
Edmore Chirambadare had to play as a goalkeeper for the remaining minutes because coach Steve Komphela had already made all the substitutions.
“Khune fell heavily on his head,” Dr Hashendra Ramjee told the club’s website.
“He had a sore neck and a headache from the clash. We took him to hospital where he was examined. Accordingly, he was cleared of danger.
“Itu will undergo a series of checks and rehabilitation, however, he should be ready for the next match.”
Chiefs will play Baroka FC at Durban’s Moses Mabhida Stadium on Saturday at 6pm.