Tasmania's Chamber of Commerce and Industry is urging the Government to review whether other state assets could be sold off after the Treasurer revealed plans to sell the heritage-listed Treasury Building in Hobart.

Peter Gutwein used his budget speech to reveal the State Government would begin an expressions of interest (EOI) process for the historic building, which he said was no longer "fit for purpose".

Today he told a post-budget breakfast in Hobart he had not initially been keen on selling the Murray Street building, and knew there would be strong views on its sale.

"But the one thing I've come to the conclusion of over the last four years is that, as an office building, it doesn't provide contemporary office facilities," he said.

"We need to ensure it's use is more appropriate in respect of the standing that it has — and that is as a fantastic tourism asset.

"It may be for a hotel, it may be for accommodation, it may be for a range of other public uses, but we'll frame up the EOI and have that conversation over the coming year."

Michael Bailey from the Tasmanian Chamber of Commerce and Industry said there were other government assets and businesses that could be sold.

"We always say that state assets should be looked at, and we've said for some time that there should be a review of things like the Burnie Port," he said.

"The more we can move our assets and roles into the private sector the better [because] we know the private sector delivers more efficiently than government."

The Treasurer ruled out selling government businesses and the St Johns Street public buildings in Launceston.

"But in terms of government property there is always an ongoing process in terms of property that is past its use-by-date," Mr Gutwein said.

The Greens' Cassy O'Connor has accused the Government of betraying the Tasmanian people by selling the historic building.

"The Treasurer has not made the argument for the sale of one of our most important and symbolically significant heritage buildings," she said.

"Why not, if it's not fit for purpose, lease it out or investigate another public purpose for the use of that building?

"But the first step would surely be talking to the owners of the Treasury building, who are the people of Tasmania."

Labor's Shadow Treasurer Scott Bacon said Tasmanians should be consulted before any sale.

"This is a fantastic public asset," Mr Bacon said.

"You've got a former court in there, a former premier's office and the former cabinet room.

"These are buildings that the Tasmanian people should get a chance to see and we don't think they should just be flogged off to the highest bidder."

It is not the first time the Liberal Government has flagged selling the building.

In 2015, the Government confirmed it had received unsolicited offers from hotel developers interested in the building.

The Treasury building has previously been valued at $20 million but Peter Gutwein said he thought the Government could get more in the current market.