Ramaphosa said he understands South Africans want the country's leadership to resolve its problems and that the national executive committee (NEC) "will be doing precisely that".
ANC president Cyril Ramaphosa called for patience following a meeting with Zuma earlier in the week.
Opposition parties last week had threatened a "national shutdown" in response to Zuma's refusal to resign - although it was unclear if the action would go ahead.
At the request of Julius Malema, head of the opposition Economic Freedom Fighters party, Speaker Baleka Mbete agrees to schedule debate for a motion of no-confidence vote in the Zuma administration on February 22.
Ramaphosa has previously called for Zuma not to be humiliated, even if he was ousted.
Scandals linked to Zuma have played a major role in sapping support for the ruling party, which has led South Africa since the end of white minority rule in 1994.
Zuma, in power since 2009 and battling corruption allegations, has been living on borrowed time since Ramaphosa replaced him as leader of the ruling party in December. Worryingly, the longer it takes to get Mr. Zuma out of office, the weaker Mr. Ramaphosa looks and in fact becomes.
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According to Dr Groenewald, the drawn-out negotiations over whether or not President Zuma must step down as president of the country is now damaging the economy more than removing Zuma as such.
And there are numerous possible charges that look likely to arise from a court-ordered inquiry into the "state capture" and influence-peddling that have developed under Zuma's rule. If Zuma did resign, Cyril Ramaphosa would deliver the address as acting president.
The interests of people must be put first, not the interests of individuals, said Ramaphosa.
The EFF's Mbuyiseni Ndlozi: "There are several issues relating to the removal of Zuma, including mass mobilisation, that will form part of the discussions, amongst other things".
This ANC member preferred anonymity as caucus meetings are not for public repetition and because there was a desire not to aggravate the already deep fractures in Africa's oldest liberation movement, which Zuma has brought to the brink of disintegration.