Infrastructure Minister Micheal Ferguson has confirmed he will be contesting the Liberal Party leadership.
In a statement, Mr Ferguson said Attorney-General Elise Archer would be on the ticket as his deputy.
"Whatever happens next, it's my intention to continue to work hard and serve Tasmanians as a member of our strong Liberal team - as we were elected to do," Mr Ferguson said.
"My position, as always, is to do what is best for our party, the Government and most importantly the Tasmanian people."
"Elise and I intend to respect the party room process by not adding to public commentary at this time."
Earlier on Thursday, Treasurer Peter Gutwein confirmed he would stand for Premier after Deputy Premier Jeremy Rockliff said he would not be going for the top job.
Instead Mr Rockliff will seek to remain Deputy Premier on the ticket with Mr Gutwein.
The Parliamentary Liberal Party will meet on Monday at midday for the leadership vote.