Family spokesperson Anneliese Burgess said the family would not be responding to media reports at this stage.
“We are referring all enquiries to correctional services.”
Numerous attempts have been made to get comment from correctional services, who could not confirm nor deny that Pistorius had been rushed to hospital on Saturday.
Controversy followed after City Press reported the Paralympian was rushed to Kalafong hospital after sustaining injuries to his wrists.
The report claimed the former Paralympian injured his wrists in his prison cell.
“Correctional services said Pistorius claimed he had injured himself after falling out of bed. An inmate situated close to the hospital section told City Press that Pistorius had injured himself intentionally,” the news report stated.