Zuma and French arms company Thales face charges of corruption, racketeering and fraud linked to the multi-billion arms deal in the 1990s.
His lawyer Advocate Eric Mabuza said the postponement gives them hope that the trial would begin this year.
The National Prosecuting Authority tried to argue for a holding date in the case against Zuma and Thales to be set in October, citing fears of the impact of the COVID-19 pandemic on the matter.
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