Convicted murderer Daniel Jack Kelsall is expected to find out whether his 30-year sentence is likely to be reduced on appeal.
Kelsall was sentenced in 2015 after being found guilty of indecently assaulting and murdering Morgan Huxley, 31, at his Neutral Bay flat in the early hours of September 8, 2013.
The 24-year-old's lawyer Braddon Hughes SC told the NSW Court of Criminal Appeal in August the sentencing judge erred in his assessment of the killer's prospects of rehabilitation.
Justice Robert Allan Hulme said the murder must have been "the doing of a very disturbed mind" when he jailed the former kitchen hand to 40 years and three months with a non-parole period of 30 years and three months.
Sally Dowling SC, for the crown, said there was no evidence to support a proposition that he may be diagnosed with a mental condition which could be treated and improve his prospects of rehabilitation.
"This was, as the sentencing judge observed, a truly heinous, chilling and grotesque example of murder," she said.
The three appeals judges considered written submissions and are expected to hand down their decision on Friday.