"All eyes should be on this storm as it churns just offshore from Vanuatu and is likely going to have a decent impact on parts of Fiji," the forecaster said.
There is a moderate risk of Yasa reaching New Zealand but only a low risk of it still being classed as a "storm" by then, WeatherWatch said.
"It may also bring some wind, rain and dangerous seas around Vanuatu for a time from the east."
The cyclone is set to hit Fiji on Thursday evening or Friday morning.