Meanwhile, at Tuynhuys, Zuma was holding Cabinet committee meetings with select government clusters this week, with ANC president and deputy president of the country Cyril Ramaphosa also in attendance.
A meeting of party leaders scheduled for today (7 February) was cancelled after an evening meeting between Zuma and Cyril Ramaphosa, who was elected ANC leader in December and has been Zuma's deputy since 2014.
It also denied allegations by opponents that Mr Zuma was preparing to sack Mr Ramaphosa.
Mr Ramaphosa said he and Mr Zuma will finish their discussions and report in the coming days to the ruling African National Congress party (ANC) and the wider population of one of Africa's biggest economies.
Mr Ramaphosa said direct talks were an opportunity to reach an agreement without spreading discord or division. After multiple meetings with the president, it would appear that Jacob Zuma remains reluctant to stepping down, and it has been suggested that he is looking at trying to obtain immunity against allegations of corruption for him and his family before relinquishing the presidency. The non-profit group promotes the legacy of South Africa's anti-apartheid leader and first black president.
Former union leader Ramaphosa has said he does not want to humiliate Zuma but has been lobbying behind the scenes for him to step down early.
Parliament speaker Baleka Mbete said that the address had been delayed because there was "little likelihood" that it would be held without disruption. They are said to have failed to convince him to stand aside.
EFF Secretary-General Godrich Gardee said: "If Mr Zuma has not resigned by Monday at 14h00, it (the motion of no confidence) should actually be debated the following day".
Due to a factional divide within the ANC, this vote on the South African president's future has a higher probability than previous votes have had in terms of resulting in his removal.
According to Dr Groenewald, the sudden postponement creates the impression that the ANC simply wants to use the written requests, by which opposition party leaders demanded the postponement, as a smokescreen to cover up its own incompetency and inability to solve internal problems.
The power struggle has rocked the ANC, the renowned liberation movement that led the fight against white-minority rule but has since lost much public support.