Devastating ex-cyclone Seroja is headed for New Zealand's South Island later this week and is expected to bring rain, wind and plummeting temperatures.
The severe category three tropical cyclone hit Indonesia and Western Australia over the weekend.
Now the remnants of the cyclone are exiting the Australian state and will combine with an even deeper low-pressure system.
WeatherWatch said it will then track eastwards towards Tasmania and New Zealand's South Island.
"Later this week this very deep, and large, Southern Ocean low will graze up against Tasmania and New Zealand's West Coast bringing wind, rain and a temperature drop. Weather warnings may well be issued by BoM and MetService."
The cyclone has caused devastation in Indonesia, where it hit over the weekend.
Roofs were blown off houses, roads were flooded and struck by landslides, and electricity was cut off forcing thousands of people into shelters.
Over 100 people are believed to have been killed and more are still missing.
The cyclone also caused "widespread and severe" damage in the West Australian town of Kalbarri on Sunday night, the Guardian reported.
The state's premier Mark McGowan said as many as 70 percent of homes in the tourist town had suffered damage.
"This is heartbreaking," McGowan told reporters.
"All West Australians are thinking of those people who have been affected.
"The next few days will be very tough and difficult but we will get through this together."