Tasmanian Speaker Sue Hickey's support for the Government looks set to be tested this week, as the Greens plan a motion to pause new Airbnb accommodation in Hobart.

The Greens are hoping for Labor's support and, with the Government opposed to the motion, it could be a test of Ms Hickey's allegiance to the Liberals since she voted with the Opposition parties to assume the speakership.

Greens Leader Cassy O'Connor wants a regulatory "pause" on entire homes in Greater Hobart being listed on Airbnb and other short-stay accommodation websites.

The most recent overview of housing data from the University of Tasmania's Institute for the Study of Social Change found there were almost 2,000 Airbnb listings for Greater Hobart in February, a 212 per cent growth since July 2016.

Seventy-six per cent of those listings were for entire properties.

Ms O'Connor said she would table a notice of motion on Wednesday, which would be a quick fix to Hobart's housing pressures while longer-term policies were developed.

"We need to press pause," she said.

"If there are more properties, more whole homes, going on to the short-stay market that means there'll be more Tasmanians out of a home."

The Greens were positive about securing Labor's support for the motion, given the Opposition has previously called for an immediate pause on new short-term accommodation approvals.

Labor leader Rebecca White said the hiatus should apply in high-stress rental areas.

"We do think that it is an important step that the Government should be taking to take some of the pressure off and give them an opportunity to look at further regulation that enhances the opportunities for ordinary Tasmanians to access the rental market."

A recent study revealed there were almost 2,000 properties listed on Airbnb in Greater Hobart. ( Supplied: Airbnb )

'Government should respond if motion carries'

A spokesman said the Government would not support the motion, meaning Speaker Sue Hickey's allegiance to the Liberals might be tested in a casting vote.

A spokesman for Ms Hickey said she would listen to debate on the motion on Wednesday before she made up her mind.

The Government's majority hangs on a knife edge because Ms Hickey has said while she would guarantee the Government confidence and supply, she would assess legislation on its merits.

Ms O'Connor said if the motion was carried, the Government should respond or risk being in contempt of Parliament.

Treasurer Peter Gutwein was not buying into questions about the Government potentially losing any votes on the floor when Parliament resumed.

"We are a strong, united Government," he said.

"We have 13 Liberals in the House and it's my expectation that we will continue to govern sensibly and responsibly into the future."

The Tasmanian Government recently announced minor changes to Airbnb regulations, but was accused of "tinkering around the edges" by critics.