The case was postponed to 23 August.
Lawyers for Zuma said they hoped to agree on a start date once they had studied the state's evidence.
Zimbabwean national Phumzile Dube was killed on the scene while another passenger Nanki Mashaba died a few weeks later.
Earlier this week, Zuma was granted bail of R100,000 after he was charged with corruption.
It's alleged he was present when the Guptas allegedly offered former Deputy Finance Minister Mcebisi Jonas a bribe.