As Zimbabwe, Namibia and Botswana suspend poultry imports from South Africa with immediate effect, the Agriculture Department says no new cases of avian flu have been reported since the start of the week.
At the weekend, reports emerged that birds from Zimbabwe had carried the virus into South Africa.
A farm in the Free State and two in Mpumalanga have been affected by the virus.
South Africa has since ended the sale of live hens in a bid to control the outbreak.
Avian veterinarian Chris Kingsley says while there is cause for concern, there's no need to panic.
"Any outbreak is serious, not only because of its economic effect but also because of the fact that it does have the potential to infect humans."