Tasmania's Liberal premier says he "absolutely" has the required crossbench support to govern in minority but discussions with balance-of-power independents remain ongoing.
Jeremy Rockliff's cabinet, containing two new faces including former Senator Eric Abetz, was officially sworn in at a ceremony on Thursday in Hobart.
Mr Rockliff on Wednesday inked a deal with three first-term Jacqui Lambie Network MPs for votes of confidence and supply in parliament.
The arrangement means the Liberals, who won 14 of 35 lower-house seats at the March 23 election, need the support of just one of three independents to govern.
Mr Rockliff has said he has a good working relationship with independent and former Labor leader David O'Byrne, who has indicated he wants to see stability in parliament.
"Absolutely we will have confidence and supply for the house," Mr Rockliff said.
"I have provided the assurances to the Governor.
"I will engage with independents and continue those discussions. I look forward to the first sitting of parliament."
Independent MP Kristie Johnston has ruled out doing deals with the Liberals in return for her vote and will assess parliamentary motions and legislation on their merits.
Fisherman and first-term independent MP Craig Garland is open to working with the Liberals.
Mr Rockliff hit back at criticism the Liberals had "fleeced" Jacqui Lambie Network MPs Miriam Beswick, Andrew Jenner and Rebekah Pentland.
Their signed agreement includes several non-binding reviews into transparency matters and independent assessments of the state's finances and modelling for a divisive AFL stadium.
Independent upper house MP Meg Webb said terms of the deal shackled the network MPs ability to vote against the government.
Greens leader Rosalie Woodruff said the network MPs failed to secure tangible outcomes, such as the establishment of an Independent Commission Against Corruption.
"There is nothing concrete," she told reporters.
"It shows that Jeremy Rockliff has essentially been … throwing the power of his office at people who don't have experience. It's a bad sign."
Mr Rockliff said he "rejected any criticisms" of the new members of parliament.
"We have three brand new members of parliament who are willing to provide certainty and stability," he said.
"They have brought forward ideas around greater transparency … including an independent look at Tasmanian finances. All good ideas."
Mr Abetz, who has assumed the business, industry and resources and transport portfolios, said he supports Mr Rockliff's leadership.
Mr Abetz, a conservative, refused to say whether he backed Mr Rockliff's campaign pledge to ban religious gay conversion practices.
"We are a genuinely broad church and, might I say premier, the fact the two of us are standing together ... is indicative of that," Mr Abetz said.
