Ms Hickey blindsided her Liberal colleagues on the first sitting day of the new parliament, earlier this month, by voting with Labor and the Greens to make herself Speaker.

The position had been set aside for veteran MP Rene Hidding, who gave up his portfolios expecting to get the job.

Attorney-general Elise Archer on Wednesday denied claims she called Ms Hickey a "treacherous bitch" on the day of her shock appointment.

Mr Hodgman on Thursday backed Ms Archer's version of events.

"People across parties, within the parliament, within the broader community will always be freely engaging," he told reporters in Hobart.

"In this case what we've had is a report of something that the attorney-general has refuted categorically.

"That's that."

Ms Hickey has previously said she was given an assurance of a ministry, but was left out of cabinet.

Labor nominated her for the Speaker role, with the Greens' support.

The Liberal government was returned to power in March with a slender one-seat majority of 13 lower house seats to Labor's 10 and the Greens' two.

It means the government relies on Ms Hickey's vote to pass legislation.

Ms Hickey has indicated she remains a committed member of the Liberal party but has only guaranteed her vote on matters of supply and will consider legislation on its merits.

Mr Hodgman reiterated the Liberals' ability to govern in majority isn't under threat.

"We're focused on what we've been elected to do, and that's giving Tasmania good government and delivering our plan," he said.

"We are a majority, we were elected to govern in majority and that's what we'll do."

Australian Associated Press