Pretoria's High Court heard that Oscar Pistorius was willing to make monthly payments to Reeva Steenkamp's family as a form of retribution for killing the young woman.
The offer, described as blood money, was rejected.
Probation officer Annette Vergeer also told the court that because the 27-year-old convict is unlikely to re-offend, a prison sentence is not an ideal form of punishment.
Ms Vergeer, who was presenting mitigating evidence on behalf of Pistorius's legal team in the second day of the sentencing hearing, said jail could be a dangerous place for the disabled athlete and could punish him in ways that would not be constructive.
She was the fourth and last witness called by the defence team in the past two days.
All four were subjected to heavy cross examination by state prosecutor Gerrie Nel, who is pushing for the maximum 15-year-prison sentence for the Paralympian.
Yesterday, prison official Joel Maringa recommended that 27-year-old Pistorius should receive three years "correctional supervision" through house arrest for fatally shooting his girlfriend Reeva Steenkamp.
He should also clean a Pretoria museum for 16 hours a month, Mr Maringa said.
Pistorius was found guilty last month of negligently killing his girlfriend Reeva Steenkamp in the early hours of Valentine's Day 2013.
The double-amputee athlete was cleared of the more serious charge of murder.
His sentencing hearing, which began yesterday, is expected to run for most of the week.
The so-called "Blade Runner" could face up to 15 years in prison, or could dodge a jail term altogether with a non-custodial sentence.
The state has indicated it will call at least two witnesses, whose testimony is expected to finish tomorrow or Thursday.
Judge Thokozile Masipa will likely make her decision on Friday, a state source told AFP.
Both the state and defence then have 14 days to appeal Judge Masipa's decision.
