The government has transported several more families from Nauru to Adelaide to receive medical treatment this week, and there are now only 40 or 50 children on the island.
The Morrison government has plans to get all children off Nauru by the end of the year.
Border officials are now agreeing to medical transfers, whereas before a court order was required before anyone could leave the island.
Now it is hoped that there will be no asylum seeker children left on the island at the end of this year.