The abortion debate is the third longest in the history of the Legislative Council.
The amended bill is expected to satisfy rebel Liberal MP Tanya Davies,who said an"agreement"was reached over the issue of late-term abortions.
Mrs Davies hadthreatened to abandon the government if "sensible amendments"were not made to the bill,which was introduced to Parliament by Sydney MP Alex Greenwich last month.
Mrs Davies,the government's most vocal opponent of the abortion bill,said the amendment to codify existing practice around abortions after 22 weeks was critical to her remaining in the Liberal Party.
"I understand that there has been an agreement on the wording of the amendment dealing with late-term abortions but this is still not final,"Mrs Davies said on Wednesday.
Mrs Daviesidentified four amendments that she wanted,including dealing with sex-selection abortions,a baby born after a termination and conscientious objection for doctors.