The proposed release date provoked an angry reaction from the parents of model and television presenter Reeva Steenkamp, 29, who Pistorius shot on Valentine's Day in 2013.
Pistorius, a role model around the world after competing in the Paralympics and Olympics, claimed that he mistook Steenkamp for an intruder, firing four shots through a locked bathroom door.
"Incarceration of 10 months for taking a life is simply not enough," her parents June and Barry Steenkamp said a statement released online.
The statement added that the family had "forgiven" Pistorius and did "not seek to avenge" their daughter's death.
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Pistorius, 28, was found guilty last year of culpable homicide -- a charge akin to manslaughter -- and sentenced to five years in prison for shooting Steenkamp.
"He has been recommended for correctional supervision on August 21," Zach Modise, commissioner of the correctional services, told AFP.
"Normally, this will mean house arrest with one hour of free time each day. As he progresses, we will relax these conditions."
Due to his physical disability, Pistorius is being held in the hospital ward of a Pretoria prison, shielding him from the often brutal overcrowded cells that are known for gang violence.
State prosecutors are appealing against his conviction for culpable homicide, saying he should have been found guilty of murder.
The appeal hearing was set on Monday for November -- three months after Pistorius could be freed.
"A specific date has not been set yet, but we can confirm that the appeal will happen in November this year," a Supreme Court official, who declined to be named, told AFP.
Pistorius's legal team unsuccessfully tried to halt the appeal, saying the conviction was based on facts presented during the trial and therefore could not be challenged.