On Friday, Madiba-Zuma posted a photo of herself and the president on Instagram, saying, in isiZulu, "It's going get rough, don't fight with someone who is not fighting you". However, political opponents speculated that immunity is a key element in private negotiations over Zuma's fate.
There have been rising calls for Zuma to step down and to not deliver the state-of-the-nation address (Sona), both from within his own party and the opposition, who have in recent years disrupted the speech in protest at Zuma's presence amid a myriad scandals of corruption and state capture.
Ramaphosa and Zuma have spent the week in Cape Town locked in formal and informal discussions about the president's departure from office and the mechanics and logistics surrounding it.
South Africa's parliament on Tuesday postponed Zuma's state of the nation address scheduled for Thursday amid pressure for him to resign.
The talks began after the ANC delayed an emergency meeting of its national executive committee, which has the authority to order Zuma to resign, from Wednesday to February 17.
Hong Kong bus overturns killing 18
He said the franchise bus company would pay $10,000 to each injured person and family of the deceased. The injured passenger told the paper: "It was much faster than I normally felt in a bus".
On Monday, the party's military veterans said Zuma had to be removed within seven days, which elapses on Sunday.
Criminal charges against Zuma including corruption, racketeering and fraud, are linked to a 1999 multibillion-dollar government arms deal.
Jailed for 27 years, the anti-apartheid leader addressed an ecstatic crowd from the balcony of Cape Town's City Hall on February 11, 1990 and was elected as South Africa's first black president four years later.
Members of Zuma's own party have also called for his resignation saying he has become a liability to the party and could cost them votes in the 2019 general election if he is not removed early from office.
The ANC has vehemently denied that the withdrawal of the ANC's top six from events leading up to the Nelson Mandela centenary celebrations was owing to fast-tracking President Jacob Zuma's "transition" talks.