Finance Minister Damien Tudehope on Monday said last week's debate in the upper house was conducted in "good spirit" with a handful of amendments remaining.

Premier Gladys Berejiklian was last week threatened with a leadership spill by three rebel Liberal MPs over her handling of the bill, before Tanya Davies, Matthew Mason-Cox and Lou Amato scrapped the motion.

While Mr Tudehope expects there to be negotiation and discussion around the remaining amendments, he anticipates the debate will finish this week.

"I would hope in the spirit of trying to get the best possible piece of legislation in relation to this act that we will reach some sort of compromise," he told reporters in Sydney on Monday.

"It's important when it's finished there's a perception in the community that the bill has been debated and hopefully we have the balance right."

One of the most controversial amendments to be discussed this week is around late-term abortions, which Mr Tudehope expects will take some time.

Mr Tudehope last week moved a failed amendment to ban sex- selection abortions, before introducing another watered-down one which was later approved by the upper house.

The change stated that the NSW parliament opposes sex-selective abortions, and that a future parliamentary report on the issue is to include prevention recommendations.

The upper house has passed several amendments, including one clarifying that doctors must provide appropriate care to babies born alive after a termination.

Ms Berejiklian said MPs were giving due consideration to the very complex issue.

She re-affirmed her position on Monday that she'll support all amendments moved from the upper house in regards to the bill.

Debate on the remaining amendments to the bill will resume on Tuesday.

Australian Associated Press