The outbreak has cost it 220 million rand so far, the company said.
One of the continent's major poultry producers, South Africa reported the first bird flu cases in commercial farms in April, according to an industry group.
Earlier this month, the South African Poultry Association (SAPA) said the country was contending with two different strains of the virus, the infamous H5N1 and a new strain identified as H7N6.
The latter was spreading through the northeastern provinces of Mpumalanga and Gauteng "at an alarming rate", according to Astral.
Bird flu does not typically infect humans. But H5N1 is increasingly infecting mammals worldwide, from sea lions in Argentina to foxes in Finland, raising fears it could pass on more easily to humans.
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