NSW Health Minister Brad Hazzard, who was one of 15 MPs to co-sponsor the private member's bill, told Parliament it had "the opportunity to right a wrong that was enacted into law 119 years ago".

"It is a law that put women's reproductive rights into the criminal code, and it was enacted when all the legislators in this place were men," Mr Hazzard said.

"It is a law that came into being 25 years before the first woman, the first feminist, came into this place."

The Reproductive Health Care Reform Bill 2019 would make abortion available on request in NSW up to 22 weeks gestation, and requiring the consent of two doctors after that point.

Wagga independent MP Joe McGirr said on Monday he was "still considering his position" on the bill ahead of Parliament's sitting week.

The Australian Christian Lobby has established a website and sent text messages to urge opponents of the bill to contact their MP.

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The Fair Agenda's 'Vote Pro Choice' campaign has established a similar website but for the other side of the argument, putting Dr McGirr on a list of MPs with an 'unknown' position on the bill.

Wagga-based Nationals MLC Wes Fang has said he will vote in favour of the bill and has called for Wagga to have its own reproductive health clinic.

The NSW Pro Choice Alliance has also called on their supporters to contact Mr Fang and encourage him to maintain his position.

Some government MPs have pushed for amendments that would make it more difficult to get an abortion after 22 weeks by restricting late-term procedures to hospitals.

Former mental health minister Tanya Davies told Parliament she would not support the "extreme" bill.

"I am dismayed that the government that I am a member of is denying my constituents time to understand this radical abortion bill and therefore participate in this crucial debate," she said.

At the time of publication, Dr McGirr had not spoken on the bill in Parliament.

A motion brought by Christian Democratic MLC Fred Nile, which would have delayed upper house debate on the bill until November, was defeated on Tuesday.