This is one of the key conditions that Zuma has put down during behind-the-scenes negotiations now taking place with newly elected ANC President Cyril Ramaphosa, in exchange for his resignation, according to a Mail & Guardian report.
The Mail and Guardian spoke to a number of NEC members.
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.
It has been reported that Ramaphosa has rejected this.
The beleaguered President also wants surety that some of his key Cabinet appointments - including the recent reshuffling of David Mahlobo to the Energy ministry and Bongani Bongo, who has allegations of corruption hanging over his head, to Minister of State Security.
All eyes will be on the Buffalo City stadium in East London on Saturday where ANC president Cyril Ramaphosa is to deliver his maiden speech as party boss.
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They make you feel like family, they were so welcoming, so accommodating and so friendly. We certainly can't accuse him of making lazy mistakes at this point.
According to The Citizen, analysts believe it is far likelier that Zuma will be given the option to resign rather than being recalled for two reasons.
Another NEC meeting is expected in the next few weeks.
Mahlobo is seen as key to Zuma's desire to see the nuclear energy plan be implemented, and allegedly put pressure on government officials to rush the implementation of the plan.
ANC secretary-general Ace Magashule told the Mail & Guardian that he could not confirm the rumours about Zuma's conditions, but said Dlamini-Zuma would play a role in future ANC plans because she was "part of the collective".
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.