Liberal backbenchers Lara Alexander and John Tucker have announced their resignations to the parliamentary Liberal Party.
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This means they will return to parliament later in the month as independents.
At a press conference in Launceston this morning, Mr Tucker listed a number of concerns which had led to their decision to resign, including the state government's backing for a new $715 million stadium, the Marinus Link project and the fact the duo had not been privy to associated contracts and agreements.
He also said the state's mounting debt had prompted his decision to resign.
Mr Tucker said the pair had been in discussions over their concerns with the government's direction over the past six to eight months.
He said he and Ms Alexander would guarantee the government supply on the floor of the house.
The duo said they would not support any votes of no-confidence at this stage.
"We do not want to derail the state, we do not want to create more anxiety," Ms Alexander said.
Mr Tucker added this depended on the Premier being transparent over the stadium funding and the Marinus Link project, in particular.
"We're not planning on bringing the government down," he said.
"I hope that Jeremy Rockliff stays as premier."
When asked about the Premier's reaction to her resignation, Ms Alexander said Jeremy Rockliff did not express surprise.
She said some of the decisions made under Mr Rockliff's government had conflicted with her personal values.
"I cannot just stand back quietly in view of this magnitude of debt," Ms Alexander said.
"It is a very difficult decision, but I feel I have to do it.
"We asking for more transparency and everything to be clearly articulated for the Tasmanian community to understand, especially around this very, very big project which is for stadium.
"I think the critical thing is for the Liberal Party to get back to the bread-and-butter issues."
Mr Tucker has been overlooked for ministerial roles three times due to resignations from cabinet and parliament.
He said the decision to leave the party was not predicated on the promotion of others over him, saying a landclearing issue that was before court at the time precluded his opportunity to ascend to cabinet.
Mr Tucker said he didn't believe he'd rejoin the party sometime in the future.
"What the future holds, I don't know, but usually when you become an independent, and Lara and I are well aware of this, there's no going back," he said.
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