President Jacob Zuma wants Nkosazana Dlamini-Zuma to stand in as the country's interim president as a condition for his resignation, the Mail & Guardian reported on Friday.
He favours Human Settlements Minister Lindiwe Sisulu or National Assembly Speaker Baleka Mbete.
President Zuma and his supporters have also reportedly demanded that some of his key cabinet appointments, such as energy minister David Mahlobo and state security minister Bongani Bongo be retained in Ramaphosa's new cabinet.
This is according to the Mail & Guardian‚ quoting ANC insiders.
Zuma and Ramaphosa seem to be at loggerheads and both are not willing to concede, according to the report.
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Only party President Cyril Ramaphosa‚ his top six leaders and ANC Eastern Cape chairman Oscar Mabuyane were allowed into the palatial home located along the N2 near Mthatha.
Earlier this week the rand strengthened, touching its highest level in two sessions, after rumours that Zuma would step down.
The NEC had met on Wednesday at a special NEC meeting in East London‚ where the celebrations will take place‚ and deliberated only on the January 8 statement‚ even though it was widely speculated that the NEC would discuss recalling President Jacob Zuma.
ANC spokesperson Zizi Kodwa reportedly said the ANC was aware of discussions between Zuma and Ramaphosa about "how to we ensure Luthuli House remains a centre of power without undermining the office of the president of the republic", but said he knew nothing of Zuma's reported conditions.
Piotr Matys, emerging market strategist at Rabobank, warned that ousting Zuma could also cause trouble for the South African currency, saying that: "The governing ANC could be engulfed in political bickering between Zuma's camp and members of the party who voted for Ramaphosa".