They are New Caledonia, northern Vanuatu, Tuvalu, Tokelau, the northern Cook Islands and the Marquesas.
The forecasters said above normal rainfall for Solomon Islands was also expected.
They also said there was a significant chance of an El Nino weather system developing over the next few months.
El Nino means a warming of the tropical ocean which can lead to more intense storms.
Photo file UNDP. Caption: Drought in Marshall Islands