The Bureau of Meteorology has forecast a cold front to cross the state on Sunday, followed by another on Monday morning.

BoM Tasmania regional director John Bally said forecast repeated snowfalls across the highlands could see roads closed for several days.

He said snow in Hobart was possible.

Meteorologist Michael Laczko said Monday's cold front would bring a mass of cold air from as far south as the Antarctic coast, with Launceston headed for a top temperature of just 10 degrees, and southern parts of the state expecting even lower temperatures.

Snow could fall to below 300 metres in the Western, Southern and Central areas, while levels are expected to remain higher across the North-East and highland areas.

"At the moment we are expecting probably about 15 to 25mm of rain into Western and Central areas, which will equate to fairly reasonable snowfalls if those totals do come up," Mr Laczko said.

"The snow may well get down to fairly low levels as well. That will mean more locations will be covered than [from] some of the other fronts we've had this season.

"The amount is not expected to be unusual; what is slightly more unusual is how low the snowfalls are expected to get."

Mr Laczko said the Launceston area also had an outside chance of receiving hail on Monday.

A road weather alert was issued by the BoM on Thursday night for icy road conditions on Friday morning in parts of the North-West Coast, Central North, North-East, Western, Central Plateau, Midlands, East Coast, Upper Derwent Valley and South-East forecast districts.

A sheep graziers warning was also issued.