Lidia Thorpe quits Greens over concerns about voice

"It has become clear to me I can't do that from within the Greens," she told reporters in Canberra on Monday, the first day of parliament for the year.

Senator Thorpe said her new independence would enable her to better fight for First Nations justice and sovereignty.

"I'm ready for what comes next in the fight for a future where our kids are with their families, where our people are not killed in custody, where the chains that the system wraps around our people are lifted," she said.

Senator Thorpe said a voice to parliament was at odds with what her community had told her but noted she had not reached her final position on the constitutional change, which is expected to be put to a referendum later this year.

Greens leader Adam Bandt told reporters he would have liked Senator Thorpe to stay in the party and he informed her she was free to speak out about her position on the voice.

"I confirmed that, under the Greens' constitution, she had the ability to vote differently," he told reporters in Canberra.

"I wish she had made a different decision but I understand the reasons that she has given for that decision."

The minor party has still not come to a final decision on the voice. 

Senator Thorpe has said she would not support the voice unless there was a guarantee that Indigenous sovereignty would not be ceded.

Asked whether Victorian voters had been sold a pup for voting for someone they thought would remain in the Greens, Mr Bandt said he and a lot of party members and voters were saddened by the outcome. 

"She's made that decision and she's explained her reasons for doing it. And we just have to deal with the facts as we find them," he said. 

Her announcement means the Greens will be reduced from 12 senators to 11 and the government will have an additional independent crossbencher to negotiate with.

She will continue to vote with the Greens on climate issues in the Senate.

Prime Minister Anthony Albanese, constitutional experts and the referendum working group have said the voice would have no impact on First Nations sovereignty.

Senator Thorpe replaced former Greens leader Richard Di Natale when he retired in 2020 and was re-elected in 2022.