"One of my assessors is not well," said Judge Thokozile Masipa. "I suggest that we postpone this matter to the 7th of April."
Pistorius was expected to be called as a witness for the defence and later to face fierce cross-examination about how and why he killed his girlfriend Reeva Steenkamp on Valentine's Day a year ago.
The "Blade Runner" sprinter denies a charge of murder, saying he mistook the model for an intruder.
The case was originally scheduled to run for three weeks until last Friday, but is now slated to run until at least mid-May.
Pistorius is the only surviving witness to the events inside his house in the early hours of February 14, 2013, so his testimony is likely to be key.
The 27-year-old has to explain why he fired four shots at the model and aspiring television actress through a locked toilet door, and undermine prosecutors' argument that her death was premeditated murder.
Defence lawyer Barry Roux has read two almost identical affidavits on behalf of his client -- one at his bail hearing last year, another at the start of the trial on March 3.
Pistorius does not have to testify, but his defence team has indicated it believes it will be in his interest to explain the night's events.
If the accused does take the stand, law dictates he has to be the defence's first witness.
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