Woolnorth's owner is open to discussing the sale of parts of the historic rural property to governments for heritage protection.
"Woolnorth has significant cultural values that are important to Tasmania's history and, indeed, Australia's history too," a spokesperson for Van Dairy Limited said.
"(Owner) Mr (Xianfeng) Lu would, of course, be open to discussions with both state and federal government or representative bodies regarding the sale of these assets."
Mr Lu recently put Woolnorth on the market in the wake of the company losing a key milk supply deal with dairy giant Fonterra.
That prompted new Braddon independent MHA Craig Garland to suggest the sale was an opportunity to protect important Aboriginal and post-white settlement heritage sites using some of the cash earmarked for a Hobart AFL stadium.
"Instead of the state and federal government committing to spending hundreds of millions on a new AFL football stadium ... they should spend a portion of that on preserving historic locations at Woolnorth while protecting that unique environment, the creatures and the actual Tasmanian devils," Mr Garland said.
The Aboriginal Land Council of Tasmania urged the state government to return Woolnorth to Aboriginal ownership.
"The Woolnorth farm exists as it does today because there was a violent and bloody dispossession of Tasmanian Aboriginal people at the prerogative of the crown," council chair Colin Hughes said.
"Our ancestors lived on that land for generations, and they were driven off it at the point of a gun in 1825.
"Those people who were not murdered in the process were exiled to the Bass Strait islands."
State Aboriginal Affairs Minister Roger Jaensch said: "The government is not considering purchasing the Woolnorth property at this time."