Stevanovic will take his charges to the venue of Ghana's World Cup second round victory that earned them a record-equalling quarter-final berth at the competition, in the hope that he will see signs in his players to convince him they can break a 30-year duck.
Ghana beat the USA 2-1 courtesy a stunning extra time goal by striker Asamoah Gyan to become only the third Africa country to reach the quarter-finals of the World Cup. Against South Africa, Stevanovic will be happy to see whether his side is shaping into one that will win Ghana its first Nations Cup title in 30 years.
The hero of that victory in Rustenburg two years ago, Gyan, will not play a part in the friendly on Sunday even as hope soars that he will be fit and available for the opening game of the Nations Cup against Botswana.
But in football, plan B is as important as plan A and one of the key things Stevanovic will be looking from the game is whether his other options in attack, notably Prince Tagoe and Jordan Ayew, can fill the void created by the absence of arguably Ghana's most influential player at the moment.
Isaac Vorsah is also suspended for two games at the Nations Cup so inevitably the game against the South Africans will provide early clues about who the likely center-back pairing for the side are.
And there is an ongoing battle for slots in midfield with Mohammed Abu, Derek Boateng, Emmanuel Agyemang Badu and Anthony Annan all is serious contention for slots.
Defender Lee Addy, one of the contenders for the left-back position, claims it will be important for Ghana to show their championship credentials against a South African side without many regulars.
It is unlikely to be the overwhelming view of the side but doing well will be fundamental for the confidence of a side convinced that they have enough within them to become African champions in the next month.