Olivier, Morris, uncapped Wiaan Mulder and Morne Morkel will all be considered to replace suspended fast bowler Kagiso Rabada, who has been named, for the third test starting at Newlands on Thursday.
Rabada, the number one ranked test bowler, could still play if he succeeds in his appeal against an International Cricket Council (ICC) decision to award him three demerit points for his reaction to dismissing Steve Smith in the second test.
His brushing of the Australian captain’s shoulder took him past eight points, triggering an automatic two-match suspension that would mean he misses the final two contests of a series currently level at 1-1.
South Africa is likely to look at the Newlands pitch before deciding what type of bowler will be best suited, and has also left its options open for the fourth match in Johannesburg.
Rabada’s appeal will be heard on Monday, where he will be represented by renowned advocate Dali Mpofu in the hope of having the demerit points from the Port Elizabeth win rescinded.