Manyama sustained the injury in a car crash when travelling from training on Tuesday afternoon.
There is some positive news as winger Joseph Molangoane is now off crutches and in full rehabilitation.
Amakhosi next host Black Leopards in the Telkom Knockout last-16 at FNB Stadium on Sunday (15h30).
The Glamour Boys will resume their league campaign with the Soweto Derby against Orlando Pirates at the same venue on October 27.