Meanwhile, authorities in New Caledonia are on alert after a member of the Tongan futsal team was found to have the highly infectious virus.
Tonga's health ministry says three people have been hospitalised by the outbreak, which was brought into the country by a rugby team who had played at a tournament in Auckland.
The ministry's chief executive, Siale 'Akauola, says the outbreak there appears to have peaked, and they're confident that it can still be managed.
However, there are now concerns after a 20-year-old member of Tonga's futsal team was diagnosed with measles in New Zealand, with the rest of the squad travelling on to New Caledonia.
The Oceania Football Confederation said Friday's playoff match between Tonga and Vanuatu had to be abandoned due to medical reasons.