The South African Rugby Union (SARU) will reassess Springbok coach Peter de Villiers' position in their annual review later this month.
Defending champions South Africa lost their fifth match out of six in this year's Tri Nations on Saturday, a 41-39 defeat to Australia.
The South African media are speculating that De Villiers will be sacked, and SARU have admitted that results have not been good enough.
"All rugby followers are extremely disappointed with results in the Tri-Nations, as are the Springbok team and management, of course," SARU president Oregan Hoskins said in a statement on Sunday.
"We take the situation very seriously but there is a process in place and we will follow that through."
De Villiers is also under fire for his assertion that the team fully supported Bees Roux, the Blue Bulls prop accused last week of murdering a policeman.
Hoskins said SARU would hold "formal discussions" with De Villiers about "some of his reported comments".