Australian Greens senator Sarah Hanson-Young has called on the next federal government to serve a full three-year term in office.
Prime Minister Julia Gillard and Opposition Leader Tony Abbott will find out whether they will be able to form a minority government on Tuesday.
Two rural independents - Tony Windsor and Rob Oakeshott - will announce publicly which of the two major parties they will support at a press conference scheduled for 3pm (AEST).
A third independent, Bob Katter, says he will back a coalition minority government.
Senator Hanson-Young said she hoped whoever Australia's next prime minister was would serve out their full term.
"The challenge of the parties today is to make sure that we don't have to go back to the polls," she told Sky News.
"That we can make this a secure government, whomever it ends up being, for the next three years."
Liberal backbencher Kelly O'Dwyer said the coalition had a mandate to form government, because it received a higher primary and two-party preferred vote.