Vusi died as a result of lupus on Sunday.
The disease causes chronic inflammation, as an auto-immune response to the body’s own cells.
“The Zuma family would kindly like to request an opportunity to have the funeral proceedings of Vusi Zuma conducted in private – specifically away from the media,” a statement issued by family spokesperson Linda Makatini reads.
“Whilst we understand the need for the nation to be part of us during this time – we humbly request that the family and friends be afforded the space to lay to rest our beloved son, brother and dearest friend.”
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Makatini said the family would release a statement at the conclusion of the funeral proceedings.
Vusi Zuma’s funeral service and burial are set to take place on Saturday in Johannesburg.