Tasmania's public service union does not share business concerns about a minority government and has urged Sue Hickey to do "what is right".
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And the peak community sector body has urged MPs to concentrate on policies not politics.
Business has urged Ms Hickey to remain in the Liberal Party and not become an independent throwing the government into minority.
Community and Public Sector Union general secretary Tom Lynch applauded Ms Hickey for being a "disruptor".
"The CPSU doesn't share the business community's fear of minority government," he said.
"Forcing those in our Parliament to use all the available skills and knowledge to address the challenges the state faces is a good thing and will lead to better, more accountable government.
"We applaud Sue Hickey for her honest and constructive approach to calling out the Hodgman government for its failings."
Mr Lynch said MPs should represent their electorates not their political parties.
"More of her colleagues should acknowledge their government has failed to address the health crisis, the homelessness crisis or to sit down and sort out the public sector wage dispute but they don't have her courage," he said.
"Sue Hickey is a disruptor and we need more disruptors to break the control of the status quo.
"She should ignore threats to future pre-selection and continue to do what is right.
"The electorate of Clark has the highest density of public sector workers of all Australian electorates so doing this will garner her more support amongst the voters of Clark than kowtowing will."
TasCOSS chief executive Kim Goodes wants the focus on what is best for vulnerable Tasmanians.
"Tasmanians want their elected representatives to focus on delivering essential services and good public policy, not on internal party politics," Ms Goodes said.
"Every day that the stability of the government remains uncertain is another day that the focus is not primarily on addressing the needs of people currently waiting in pain for elective surgery or for somewhere to call home."