Jacinta Ngobese-Zuma, leader of the March and March movement, reiterated the need for illegal immigrants to leave South Africa by June 30.
Speaking at a media briefing on Wednesday, Ngobese-Zuma said they had the support of many South Africans.
"South Africans said they wanted to see the country taking shape and for illegal immigrants to self-deport."
Tensions over immigration have escalated in parts of the Western Cape, KwaZulu-Natal, and Gauteng, with protests in some areas directed at undocumented migrants. Some foreign nationals have begun leaving the country amid the unrest.
The anti-migrant group has called for undocumented migrants to leave South Africa by June 30.
