Parliament is bracing against possible protests and disruption during the State of the Nation Address (Sona) next week.
She has instead set the motion down for debate on the 22nd of February.
While Zuma has survived similar votes in parliament, many former allies in the ruling African National Congress party have since abandoned him and are pushing for his replacement by Deputy President Cyril Ramaphosa, the new party leader who in recent days has delivered hard-hitting messages about the fight against corruption.
National Assembly Speaker Baleka Mbete says they're planning for Zuma to deliver the address, unless told differently by the ANC, which is trying to negotiate his early exit.
In her letter to Maimane, Mbete explained she had "no power to accede to the DA's request to postpone the State of the Nation Address, scheduled for delivery to a joint sitting of the National Assembly and the National Council of Provinces on 8 February".
The office of parliamentary speaker Baleka Mbete said she made a decision to hold the vote on February 22 in response to a request from the Economic Freedom Fighters, an opposition party.
The EFF is preparing to "raise their issues" with President Jacob Zuma at the State of the Nation Address next Thursday and vowed that it will not be business as usual for an "illegitimate president".
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They insist this is proof he's "soft" of Russian Federation . "We know what we want". Some of the people on the list have long fallen out of favor with the Kremlin .
But opposition parties are adamant that Zuma, 75, resign.
"Criminal charges of corruption against Zuma have been revived and it is now widely expected that he will be removed as President of South Africa by either the ANC or through a parliamentary impeachment motion", he continued.
The National Prosecuting Agency (NPA), the state prosecutor, said on Thursday that Zuma had provided arguments on why he should not be prosecuted for corruption.
"So far we did not resolve that we are not going to attend...we are still members of the House and we want to make sure that we meet the Speaker next week on Tuesday on the 6th...", said Holomisa.
"The ANC installed Zuma as President in the full knowledge of the enormous legal and ethical and moral liabilities attaching to him".
The rand, which tends to strengthen on signs Zuma could leave office, pared losses on the announcement from parliament.