A probation officer appearing for the defence said Pistorius should serve house arrest and community service.
Prosecutor Gerrie Nel described the suggestion as "shockingly inappropriate".
Pistorius was found guilty of the culpable homicide of Ms Steenkamp last month - but was cleared of murder.
The decision was criticized by the victim's family.
Pistorius faces up to 15 years in jail, although Judge Thokozile Masipa may suspend the sentence or impose a fine.
She said the athlete had acted "negligently" when he shot his girlfriend through a toilet door, but had genuinely thought her to be an intruder.
BBC
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