Tasmanian Attorney-General Elise Archer will put her hand up to be the state's next deputy premier following Premier Peter Gutwein's shock resignation.
Mr Gutwein announced on Monday he was quitting politics after two years as premier, citing a draining pandemic workload and a desire to spend more time with family.
Deputy Premier Jeremy Rockliff, who has been in the role since the Liberals came to power in 2014, is reportedly keen on the top job.
State Liberal MPs are expected to hold a party room meeting on Friday to decide who will be Tasmania's 47th premier.
Ms Archer confirmed to AAP she would run for the deputy premier position.
She was elected to the Hobart-based electorate of Denison, now Clark, in 2010 and holds the justice, corrections, arts, workplace safety and consumer affairs portfolios.
Mr Gutwein, who entered politics in 2002, became premier in January 2020 after Will Hodgman's shock decision to depart mid-term.
Mr Gutwein was elected unopposed by the party room, with Mr Rockliff as his deputy.
Infrastructure and Transport Minister Michael Ferguson, one of the party's more conservative voices, was in the running for the premiership with Ms Archer as deputy, but the pair pulled out before the vote.
Mr Gutwein, whose popularity soared during the height of the COVID-19 pandemic on the back of his hard border stance, indicated he could no longer "give 110 per cent" as premier.