It was still weeks away on Tuesday.
"Constructive discussions have been ongoing regarding abortion law reform and I'm pleased with where it's at," Little said in a statement.
"I expect to have an announcement to make in a matter of weeks."
He earlier told TVNZ that NZ First had been "very helpful" during talks.
"It is about making sure we get it in shape where we can get the most votes and get it through Parliament," he said.
"We are taking the time to get it right."
Abortion Law Reform Association of New Zealand president Terry Bellamak said while the group was still hopeful and appreciated the Government was trying to get the policy over the line, there was concern the hold-up meant the proposals would be watered down from the recommendations.
"We might not get the comprehensive changes we need to not only make abortion legal, but also accessible," she said.
"It's really important this opportunity not be squandered."
The delays were having a "real impact" on women, Bellamak said.
"Our message to the Government is: 'Get the lead out'," she said.
"The longer these laws are in place the more people are likely to get turned away or not have access to this care. There are people out in rural areas where the only doctor in town obstructs access to care."
Prime Minister Jacinda Ardern during a 2017 election debate said she didn't think abortion should be in the Crimes Act, although reform didn't appear in Labour policy.
New Zealand First, meanwhile, says it will support the bill through Cabinet and into the House, but was undecided whether it would lend support at the first reading.
"We want to know exactly what this legal provision is," leader Winston Peters told Newstalk ZB on Tuesday.
Green Party abortion spokeswoman Jan Logie said changes were "still working their way through" but declined to comment on concerns about the delay.
