Bafana, now with 14 points, will face Zimbabwe at Moses Mabhida Stadium on Friday before playing Rwanda at Mbombela Stadium next week on Tuesday.
These games carry a lot of stakes for the former African champions since they must win and compensate for the points lost through deduction.
Bafana saw their points reduced by three when FIFA sanctioned them for playing suspended Teboho Mokoena.
To boost their chances of earning an automatic qualification slot, South Africa must win these games and hope Benin, top of Group C on goal difference, slip up in their games.
Mathematically, the qualification race became even tighter given that Nigeria, third on the log, have 11 points.