Professor Peter Illingworth from IVF Australia says they won't help a woman have a baby beyond the age of natural menopause, which is 51, because of the health risks to the mother.
The question of how old is too old to have a baby is back in the spotlight after news a Tasmanian woman in her early 60s gave birth to a baby.
She's become Australia's oldest first-time mum, taking over from a woman who gave birth at age 60 in 2010.
The woman, who has not been named, is believed to have been implanted with a fertilised donor embryo at a facility overseas.
Australian IVF pioneer Gab Kovacs from Monash University has labelled the procedure irresponsible.
"If we believe parenting is a 20 year contract then by the time this child is going to be independent both this couple are going to be very old and they may not be there to look after him and her," he told SBS.
Prof Illingworth agrees the mother put her health at great risk and says she's fortunate to have come through it safely.
"A pregnancy at the age of 63 is a very risk business indeed, with a very high risk of serious complications such as blood clots and blood pressure problems," he said.
He says it would be very unlikely that IVF Australia would provide fertility treatment to a woman once she had reached her 52nd birthday.
That said, they would not rule it out completely.
"We would take each case on a case-by-case basis and refer it to our ethics committee. They would be concerned about the health of the mother and the welfare of the child afterwards."
Prof Illingworth also noted that he had never heard of a woman receiving a donated embryo beyond the age of 50 in Australia.
The other major ethical issue this case highlights is the welfare of the child and a need for clearer guidelines on this, says Professor Sheryl de Lacey from Flinders University.
Prof de Lacey, who specialises in infertility and bioethics, says responsible fertility care does not just rest on the age of the mother alone but on issues regarding the child's welfare.
"People these days are older, they're fitter, they're more healthy, they may be better off in terms of parenting than someone who's 16 or 18," Prof de Lacey said.
"We are stretching the boundaries in technology in a lot of different ways so I don't know that we can really claim that there's a natural limit to things these days. Otherwise why would we treat cancer?" she said.
Australian Medical Association President Dr Michael Gannon also called the move "selfish" in a Twitter post.
Older Australian mothers on the rise
New Australian mums are getting older, according to research into mothers and babies by the Australian Institute of Health and Welfare.
AUSTRALIAN MOTHERS ACROSS A DECADE: 2003-2013
* The average age of women who gave birth rose from 29.5 years to 30.1 years
* The average age of first-time mothers rose from 27.6 years to 28.6 years
* The oldest mother to give birth rose from 53 years to 56 years. However, a 60-year-old woman had a baby in 2010 and a 62-year-old broke the Australian record in 2016.
* The number of women aged 40 and over who gave birth rose from 8000 (3.2 per cent) to 13,389 (4.4 per cent)
* The number of women aged under 20 who gave birth fell from 11,617 (4.6 per cent) to 10,186 (3.3 per cent)
* The number of mothers aged 40 and over has exceeded the number of teenage mothers since 2010 and continues to rise.
(Source: Australia's Mothers and Babies 2013 report, released in December 2015 by the Australian Institute of Health and Welfare)