The State Emergency Service is closely monitoring and preparing for the conditions.

Police joined the agency in warning residents to be wary of falling trees after recent heavy rain.

"When damaging winds follow recent heavy rainfall, this increases the chances of trees falling, so people must also be aware of this potential and drive accordingly," Tasmania Police's Shane Le Fevre said.

A severe weather warning is yet to be issued, but windy conditions are forecast for areas including Waratah, Arthur River, and Zeehan.

Residents should be proactive by tying down loose items like outdoor furniture, staying up to date with weather warnings, and getting prepared for possible power outages, the SES said.

Inspector Le Fevre said the agencies were also asking motorists to prepare for potential traffic delays if emergency services were responding to fallen trees and other hazards.

A 54-year-old woman died on Tasmania's northwest coast last Saturday after she was struck by a falling tree during stormy weather in Beulah.

Another 54-year-old man was taken to hospital with serious but non-life-threatening injuries following the incident.

The same day, eight people had to be rescued from the summit of Mt Wellington, which has the Indigenous name kunanyi, after they became stranded in blizzard-like conditions.

Australian Associated Press