Mark Stocco will appeal his 40-year prison term on November 24 in the NSW Court of Criminal Appeal.
He and his father were dubbed modern day bushrangers when they shot and sped their way to infamy in 2015.
Mark Stocco was sentenced to a minimum 30-year term for murder, recklessly destroy property by fire, and two charges of discharging a firearm to avoid apprehension.
Gino Stocco was also sentenced to 40 years, but is eligible for parole two years before his son.
The pair were charged in NSW in 2015, but have since been questioned by Victorian and Queensland detectives about crimes in those states, and have made full admissions.
Those states are expected to charge them once the pair complete their NSW sentences.
In sentencing the men in March, Justice David Davies said Gino Stocco had been given a shorter non-parole term because of his age: he is 59, Mark is 38.
Gino Stocco will be 85 before he is due for release.
"It is likely he will spend his eighties in prison," Justice Davies said.
"It may be accepted that imprisonment is more onerous for an older or elderly person and I find special circumstances in that regard.
“I do not accept that there are special circumstances in respect of Mark Stocco.”
The pair pleaded guilty at an early stage, and were accordingly given a 25 per cent discount on their sentence.
But Detective Chief Inspector Michael Sheehy of NSW Police still described it as "exceptional".
"Both Gino and Mark Stocco are callous, violent criminals who today have been held accountable for their actions," Detective Chief Inspector Sheehy said.
"These individuals chose a path of crime."
The Stoccos became itinerant farm workers in 2007 after being jailed in Victoria.
For the next eight years, they irrationally lashed out at farmers, stole without thought, and conducted vengeful acts of destruction under cover of darkness but their bizarre crimes were relatively unknown until Gino was listed as one of Australia's most wanted.
When police found the Stoccos hunkered down at an isolated property east of Dubbo, they also uncovered the body of caretaker Rosario Cimone.
The pair had shot Cimone dead after a squabble.