Former elite water polo player Keli Lane, who was jailed for murdering her newborn baby, is set to appeal her conviction in a two-day hearing in July.

Lane, 37, was sentenced in 2011 to at least 13 years and five months in jail for the 1996 murder of her two-day-old daughter Tegan.

During a brief mention at the NSW Court of Criminal Appeal on Thursday, Lane's challenge to this conviction was set down for hearing on July 23 and 24.

Lane made an unsuccessful bail application in the NSW Supreme Court last month, pending the appeal.

During the brief bail hearing, her barrister, Winston Terracini SC, relied on two of their eight appeal grounds.

The first was that an alternative count of manslaughter should have been open to the jury as there was no evidence "of infliction of any harm with any intent".

The second was that crown prosecutor Mark Tedeschi QC had reversed the onus of proof by posing questions to the jury during his closing address.

But Justice Clifton Hoeben said he was unable to find that both the grounds of appeal were "most likely to succeed".

The 37-year-old has steadfastly maintained she handed Tegan over to the infant's father, with whom she'd had a brief affair.

Lane had two terminations as a teenager and had kept three pregnancies and births secret from family and friends, adopting out two children.

The crown contends she murdered Tegan because a child would have interfered with her sporting, sex and social life.

Lane was sentenced to a maximum of 18 years, with her earliest release date set for May 2024.