The Tasmanian Greens want Premier Lara Giddings to call the state election, even though she may also end the power-sharing deal with the minor party.
Tasmanian Greens leader Nick McKim says Ms Giddings should name the 2014 election date to shift the political debate back onto issues of substance.
"The best way to end the white noise and political psychobabble that the Labor and Liberal party have been generating in recent weeks is to set an election date," Mr McKim said in a statement on Monday.
There's speculation Ms Giddings will both announce the election date and dump the power-sharing arrangement with the Greens this week.
Ms Giddings has hinted at a March election, although the poll can be held any time up until May 24.
Deputy Liberal leader Jeremy Rockliff said cabinet has not met since December 16 and Labor and the Greens are paralysed by infighting and indecision.
"The only way to fix the mess is for the premier to stop playing games and call an election immediately."
The Liberal opposition has ruled out a deal with any party to rule in the state's 25-seat lower house.