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.
The report said Zuma is adamant that after he steps down, Dlamini-Zuma, ex-wife of Zuma and now an ANC MP, takes over as the country's interim president until the 2019 general elections.
The Mail and Guardian spoke to a number of NEC members.
But, the ANC's National Executive Committee met for the first time Wednesday since the party's leadership election, at which it emerged that Zuma's position was not discussed.
But on Tuesday night, on the eve of the meeting, Zuma announced that he would establish a commission of inquiry into state capture.
Political analyst Lukhona Mnguni believes the option to appoint Dlamini Zuma as interim president should not be presented along factional lines. But news that Zuma's resignation was not even discussed at the NEC meeting resulted in a dip in the rand, Business Tech reported.
Newly elected ANC secretary general Ace Magashule addressed the media on Friday‚ in a state-of-readiness briefing ahead of the party's annual January 8 statement‚ which will be delivered by ANC president Cyril Ramaphosa on Saturday.
This past Sunday parliament said it would meet and review its rules relating to removing the country's president, after the constitutional court said on December 29 lawmakers had previously failed to hold Zuma to account.
"It is quite clear that Ramaphosa is not equal to the task of getting rid Zuma as the majority of the ANC is still made up of corrupt and selfish leaders who put filling their own pockets before the needs of the people‚" Van Damme said.