However, the migrants are all expected to remain on board after a group of more than 200, mainly Iraqi asylum seekers, refused to leave the vessel, the HMAS Manoora.
Another group on board, of more than 400 mainly Afghan asylum seekers who were refused entry to Christmas island after they were rescued from a sinking ship, are staying on board waiting for the outcome of a ruling by the Australian High Court on their case.
The court, which is considering a government appeal against an earlier ruling that it illegally detained the refugees while removing them from Australian waters, is expected to give its decision on Monday.
An Australian navy helicopter flew the director of the International Organisation for Migration (IOM), Mark Getchell, to the ship for talks with the boat people on board.
Mr Getchell returned from the Manoora saying 230 of those on board do not want to land on Nauru, but are insisting they be taken to Australia.
The Australian Government refused to allow either group of asylum seekers to land on Australian soil.
Instead, it struck a deal with Nauru to accept more than 500 refugees while their asylum claims are processed in return for millions of dollars of aid. New Zealand agreed to accept the remainder.
Wasteland
Nauru - the world's smallest republic - is a barren wasteland of bare limestone rock.
All vegetation is gone from the centre of the island, the result of years of over-mining of now-exhausted phosphate reserves.
Many Nauruans do not see why their island, the world's smallest republic, should have to shoulder Australia's burden.
The original plan was to house most of the boat people in air-conditioned bungalows by Nauru's seashore, originally built for the now cancelled world weightlifting games.
But that plan has been dropped after local landowners demanded extra compensation.
Instead, the Afghans will have to live in the stifling heat of the island's interior at the Topside Sports Field, a bleak strip-mined piece of land in the centre of the island, currently lacking water, electricity or sanitation.