Former High Court Chief Justice, Murray Gleeson, says a new voice to parliament for Indigenous Australians would be a positive step.

Mr Gleeson said A body that has the capacity to speak to the parliament on behalf of Indigenous people should be of advantage to parliament and, through it, the nation.

Prime Minister Scott Morrison does not support a constitutionally-enshrined indigenous advisory body but favors some form of recognition of Abroiginal and Torres Strait Islanders in the constitution.