In his victory speech after winning last year’s federal election, the prime minister committed to implementing the Uluru Statement from the Heart in full.

The statement includes enshrining an advisory body which would be called the “voice” in the constitution, a Makarrata commission for the process of “agreement-making” between governments and Indigenous people and truth-telling.

It also calls for a voice first, followed by treaty and then truth.

Asked if he would move to draw up a treaty this term should the voice pass, Mr Albanese said there were states and territories already involved in that process.

“No … because that’s occurring with the states,” he told ABC radio on Wednesday.

Asked if the Commonwealth has a role in negotiating a treaty or if he supported one, the prime minister would not be drawn.

“What the Commonwealth has a role in is the referendum which will put to the Australian people in the last quarter of this year, that is what is happening,” he said.

“Negotiations are occurring in Victoria, in Queensland and in the Northern Territory progress occurs.”

A vote proposing constitutional recognition of Indigenous people and enshrining a voice will be held between October and December this year.