Pistorius claims fall from bed caused wrist injuries
Pistorius has denied suggestions he was making an attempt on his life, a South African police spokesperson said.
A spokesperson for South Africa's correctional services department said Pistorius had denied suggestions he had been making an attempt on his life.
Singabakho Nxumalo, a spokesman for the South Africa's correctional services department said Pistorious told prison officers that he had fallen out of bed.
The former athlete was understood to have been initially treated by medical staff at the Kgosi Mampuru II prison in Pretoria, before being transferred to Kalafong hospital.
He was returned to his cell on Saturday, with an investigation into the incident expected to be underway.
Last month, South African prosecutors said they would appeal Pistorius' six-year jail sentence, saying it was too lenient. The double-amputee athlete, who was sentenced on July 6, could be released on parole after three years.
The prescribed minimum sentence for murder in South Africa is 15 years, though a judge can reduce that penalty in some circumstances.
Pistorius also previously served a one-year prison sentence for manslaughter for the fatal shooting of 29-year-old Ms Steenkamp, a model and reality TV star.
However, his manslaughter conviction was upgraded to the more serious offence of murder after an earlier prosecution appeal, leading to a new sentencing.
Pistorius shot Steenkamp multiple times through a toilet cubicle door in his home in the early hours of Valentine's Day in 2013.
He testified that he killed Steenkamp by mistake, thinking there was an intruder hiding in the bathroom. Prosecutors said he shot her intentionally after an argument.