The Cyclone, a category one, is about 100 kilometres south-southwest of Makira as it slowly moves out to sea.
It is no longer forecast to strengthen into a category two storm.
Its winds are low, but authorities are concerned about the high amounts of rain being unleashed on an already saturated country.
The weather is forecast to slowly improve today as the cyclone moves away.
Cyclone Liua is the first September cyclone in the South Pacific in 68 years.
Cyclone season in this part of the world does not normally start until November.
SOURCE: RADIO NZ