The fate of Ephraim 'Shakes' Mashaba as Bafana Bafana coach could be decided by South Africa's FA (Safa) on Wednesday.
Mashaba's position has been the subject of speculation after South Africa failed to qualify for the 2017 Africa Cup of Nations in Gabon.
Danny Jordaan, Safa's president, said Mashaba's future would be discussed at its next executive committee meeting.
"The outcry is too much," Jordaan told BBC Sport on Saturday.
"The Safa executive will discuss this matter on Wednesday," Jordaan added.
It is possible that a new coach could be appointed before South Africa's opening 2018 World Cup qualifier away to Burkina Faso in Ouagadougou in October.
South Africa are placed in Group D of World Cup qualifying, and face a tough home encounter against the Teranga Lions of Senegal in their second match in November. Cape Verde make up the standings.
Mashaba currently has a four-year contract with SAFA and will be entitled to a pay-off, in the event of a dismissal.
However Dominic Chimhavi, Safa's Director for Communications, told BBC Sport that Mashaba's future is not up for debate at this stage.
"There are no plans to replace the coach. Shakes Mashaba remains in charge of the national team," Chimhavi said.
Mashaba was heavily criticised after their lacklustre 1-1 draw against Mauritania at home, in their final Africa Cup of Nations qualifying match.