The bureau said while the towns should not be impacted by gale force winds, it is still important to note conditions can change.
Fina caused destruction through parts of the Northern Territory in Darwin, with winds at its centre reaching up to 205 kilometres an hour.
Images from Darwin residents have shown trees uprooted, roads blocked, flash flooding and other damage caused by rain and wind.
There are localised power outages across the city, with emergency services working through the morning.
No one has been injured.
