Arrente woman, unionist and writer Celeste Liddle has been preselected as the Greens candidate for the Melbourne seat of Cooper.

Labor's Ged Kearney - a former president of the Australian Council of Trade Unions - won the seat in 2019, defeating Greens candidate David Risstrom 64.65 to 35.35 per cent on a two-candidate basis.

The Greens outpolled the Liberals in the seat on primary votes.

If elected, Ms Liddle would be the first Victorian Indigenous member of the House of Representatives.

"Celeste is a fierce advocate for working people and I'm thrilled that she's chosen to take her years of community activism and campaigning to the heart of Australia's democracy," Greens leader Adam Bandt MP said on Friday.

"With Celeste Liddle and the Greens in the balance of power after the next election, the people of Cooper would have one of the most powerful MPs in the country."

Cooper is a progressive, multicultural seat with a sizeable population of Indigenous people.

Ms Liddle said if elected she would continue a long tradition of activism.

"Cooper (is) a seat named after Yorta Yorta man William Cooper who is celebrated internationally for his private citizen protest against the atrocities of Kristallnacht, and was one of the key organisers of the 1938 Day of Mourning protest," she said.

"Should I be successful, I would hope to continue his legacy of activism and compassion."

Australian Associated Press