They were visited by the Prime Minister Hu'akavameiliku Siaosi Sovaleni over the weekend and have asked for an evacuation hall to be built at the highest point of the island, to house them if there is a similar event in the future.
The government said the Ministry of Agriculture is sending tapioca and kumara leaves to Nomuka to help farmers with replanting.
A team of Australian Defence Force personnel and soldiers from Fiji are on HMAS Canberra at Nomuka.
They are there to clear debris from the island.
