Former Leader Jeremy Hanson has confirmed he will contest the vote, while it's understood Elizabeth Lee will also put her hand up.

Deputy Opposition Leader Nicole Lawder confirmed the vote would occur on Tuesday, saying there was no clear leader.

She did not rule herself in or out of the race.

"I think there is a Melbourne Cup field basically," she said.

"It's a movable feast, every half an hour it seems to change and people put up different arguments."

Ms Lawder confirmed Mr Coe was not contesting the leadership and said there was a mood for a leader from the left of the party.

Those members include Nicole Lawder, Elizabeth Lee, Jeremy Hanson and Mark Parton.

"I do think it's important to have a moderate leader," she said.

"We were much more moderate and progressive under Jeremy.

"There was a perception that Alistair was conservative even though he didn't let his views interfere with his decision making."

Ms Lawder said she would like to see a woman in the leadership role, noting the party room now had a majority female representation.

"This is always a time where people air their grievances after the campaign," she said.

"Everyone is hurting. Everyone is devastated by the loss.

"We can express our disappointment and vent. We will come back stronger an better than ever before."

Elizabeth Lee has not publicly declared her candidacy but it is understood she will put her hand up.

Former leader Jeremy Hanson on Tuesday morning confirmed his candidacy on Facebook.

"The recent election win by the Labor and Green coalition does not mean they have been a good government. Quite the opposite is the case and after 19 years of one party rule an effective opposition is more important than ever," he said.

"We need to relentlessly take the fight up to the government while doing the work necessary to provide a credible alternative in 2024.

"The Canberra Liberals are a diverse and talented team and with the right leadership we will be very effective."

The Liberals' media team was not answering calls on Monday about when a party room meeting would be held.

The Liberal leadership is traditionally spilled after an election defeat, but the Liberals were laying low on Monday, with MLAs not wanting to speak on the record.

There has been a push from moderate forces in the party to install a more progressive leader, with Elizabeth Lee and Jeremy Hanson among the main contenders.

Former Liberal chief minister Gary Humphries last week warned the party was destined to spend decades longer in opposition if it didn't do more to appeal to mainstream Canberrans.

He said the party needed to have more progressive policies in relation to issues like climate change, abortion, same-sex marriage and transport infrastructure.

Leader Alistair Coe has remained coy on whether he will contest the leadership, but even with a majority of conservative MLAs numbers in the caucus it appears unlikely he would have the support.

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Greens Leader Shane Rattenbury said the party would be willing to work more closely with the Liberals if they pursued a more moderate agenda.

"We'd love to have a more constructive working relationship with the Liberal Party, if they actually start to take up policy positions which we have more in common with," he said.

"We are very clear that the best ideas for Canberra come from a range of places."