Independent MP Zali Steggall, who holds former Liberal prime minister Tony Abbott's old seat of Warringah in Sydney, confirmed the group was discussing how to be more effective in parliament as Australia entered a time of "political flux".
"It is beholden on me ... as a community independent to take responsibility and look at what are the options and how do we evolve ... there has to be an alternative choice from the major parties and One Nation," she told reporters in Canberra on Monday.
It comes in response to an analysis published by RedBridge Group and Accent showing One Nation could become the federal opposition if an election were held today.
But a growing number of the parliament's independents, including some teals, have hosed down suggestions of joining a party.
Kooyong MP Monique Ryan, who won her seat from Liberal Josh Frydenberg in 2022, confirmed she would not join a potential party of teals.
"Representing the people of Kooyong in Canberra has been one of the biggest honours of my life," she wrote in a statement published on social media.
"I will continue to do that in the capacity in which I was elected: as a community independent, voted for and answerable to the people of Kooyong."
Curtin MP Kate Chaney said she would remain a community independent.
"I am interested in working more collaboratively with other crossbenchers on policy," she said.
"Many of our communities have similar values, but right now I do not think that requires me to be a member of a political party."
Bradfield MP Nicolette Boele, who won the seat by just 26 votes at the 2025 election, did not rule out the suggestion.
"Whether or not my efforts on behalf of Bradfield are best achieved through a formal alliance of community independents is genuinely open for discussion," she said.
A number of independents were swept into power at the 2022 federal election, taking several metropolitan seats across the country that the Liberals had traditionally held.
Victorian MP Helen Haines said she would not join a party.
"Let a thousand blossoms bloom. If people want to talk about forming more formal allegiances through a party, go your hardest," she told reporters in Canberra.
"It's not something for me but it may be something for other people."
Other crossbenchers, including Bob Katter, former National Andrew Gee and Centre Alliance's Rebekha Sharkie, said they would remain independent.
Former Liberal prime minister Malcolm Turnbull denied rumours he was involved in the talks to create a teal political party.
"There is a vacuum for an alternative centre party," he told ABC Radio.
"The teals would be obvious people to be part of that ... but whether they actually decide to do so is up to them. So I'm not involved with any plans to set something up."
Wentworth MP Allegra Spender, who holds Mr Turnbull's old seat, said independents needed to discuss how to face the challenges confronting Australia.
"I'm certainly open to having the conversations, because I think this is the moment that we need to consider what sort of political system is going to best meet the needs of what Australians ask for," she said.
Opposition Leader Angus Taylor said the teals had acted like a political party for years and downplayed speculation moderate Liberals might join them.
The RedBridge analysis cautioned against the "reflexive interpretation" that growing support for One Nation was showing Australian society was lurching towards the far right.
Many people were instead experiencing deteriorating living standards and public services, while trust in institutions such as government, media and businesses had collapsed, it said.