NSW Premier Gladys Berejiklian says she will support a private members bill which would see abortions decriminalised and regulated as a medical procedure in the state.
NSW is the last state to decriminalise abortions, which are currently dealt with under its Crimes Act.
The Reproductive Healthcare Reform Bill 2019 is due to be introduced into parliament this week by independent Sydney MP Alex Greenwich.
The premier said on Monday: "If the legislation contains what I think it does I'll be supporting it."
Coalition MPs will be given a conscience vote.
The legislation has drawn condemnation from pro-life activists and Sydney Archbishop Anthony Fisher, who said the state should instead invest in supporting pregnant women "who feel they have no other choice".
"I urge all Catholics to rally against this proposed law and, at the same time, recommit ourselves to reaching out with prayer and practical support for women in crisis," he said.
The premier said she didn't begrudge MPs for holding strong personal view on the issue.
"It's important for (abortion) to be a decision for the woman and for the state not to cast judgment on the morality of that decision," Ms Berejiklian said.
The private members bill is based on laws in Queensland and Victoria and has the backing of the Australian Medical Association NSW, the Australian Lawyers Alliance and Pro-Choice Alliance.
It would allow for terminations up to 22 weeks, and later, if two doctors believe it should be performed given the medical, physical, social and psychological circumstances.
It would also create a new criminal offence under the Crimes Act for anyone who assists in terminations without authorisation.
The bill was developed by a cross-party working group including Nationals MP Trevor Khan and Labor's Penny Sharpe and Jo Haylen, with oversight from Health Minister Brad Hazzard.
It will be co-sponsored by 15 MPs from the Liberal and Labor parties, the Nationals, the Greens, the Animal Justice Party as well as independents.
The draft legislation has more co-sponsors than any legislation in the history of the NSW parliament, according to the working group.
Mr Hazzard said on Monday the issue of abortion should be between a woman, her partner and doctor and not involve "possible criminal proceedings against them - it's a medical issue".
"We feel confident there will be a respectful debate," he told reporters, adding he was "hopeful" the bill would pass.
The bill would ensure women in NSW have the same rights as those elsewhere in Australia, Mr Hazzard said.
Senior minister Stuart Ayes said abortion in NSW should be "safe, legal and rare" while Transport Minister Andrew Constance said he strongly supported the bill.
Education Minister Sarah Mitchell said she was pro-choice and supported it in principle.
Labor's treasury spokesman Walt Secord has also committed to voting in favour.
Australian Associated Press