Greens leader Cassy O'Connor asked Mr Jaensch to rule out a Housing Tasmania appeal against a Supreme Court ruling last week which upheld that long-term social housing tenant Gregory Parsons could not be evicted simply because his lease had ended.

The Full Court judgment noted social housing tenants could only evicted if a tenant had been provided a real reason, for example failing to pay rent or causing damage to the property, and after they have been provided an opportunity to remedy the breach or seek a review.

Mr Jaensch did not rule out the appeal and said Housing Tasmania was still considering the court's decision and its implications, and would provide advice to him in due course.

Less than ten minutes after answering Ms O'Connor's question, Mr Jaensch announced to Parliament the next step in the government's Affordable Housing Strategy with the release of the indicative tender program for housing projects outlined in the plan.

"The only way to address the housing shortage and reduce homelessness is to provide more homes for those who need them, and this program of tenders sets out the work plan for the next four years," Mr Jaensch said.

During Question Time, Ms O'Connor posed the same question to Premier Will Hodgman who also failed to rule out the appeal.

She said the appeal, which would seek to weaken the protection of social housing tenants, would be "an epic, unjustifiable waste of public funds."

"Trying to evict an intellectually disabled man from the unit he's called home for the past decade says everything we need to know about the Liberals' approach to social housing," Ms O'Connor said.

"Instead of copping the umpire's decision on the chin and moving to ensure all Housing Tasmania tenants are treated fairly by a best-practice landlord, the minister and the premier continue to threaten an appeal to the High Court."