The warning is for the communities of Pine Scrub and Leeka as the fire service and parks and wildlife workers try to get to the fire at Mount Tanner under control.
"The Pine Scrub and Leeka townships are expected to be at severe risk, and residents are encouraged to leave immediately if safe," Tasmania Fire Service (TFS) Deputy Regional Chief Steven Richardson said.
"If you don't live near West End Road, communities of Pine Scrub and Leeka, stay away."
Police are in the area helping residents leave.
The Town Hall in Whitemark is on standby as an evacuation centre if the need arises, Richmond added.
People are encouraged to stay informed and monitor conditions locally by visiting tasalert.com. For current road closures visit the Community Alerts page on the Tasmania Police website.