A Melbourne Aboriginal corporation has announced their formal position on the Voice won't be made public until a sit-down with Minister for Indigenous Australians Linda Burney.

Wurundjeri Woi-wurrung Cultural Heritage Aboriginal Corporation (Wurundjeri) was due to make their stance known on Monday before delaying after locking in a meeting with Minister Burney on May 20.

Wurundjeri provides a range of services, namely land management of country, consultation, education, cross-cultural awareness training and research.

Chief executive Donald Betts Jr said calls to their office from the public for advice on how to vote have increased in recent weeks.

He said the people of Melbourne have turned to Wurundjeri with an understanding the proposal will have acute effects for Traditional Owners and local Aboriginal community.

"Wurundjeri Elders hold a strong hand in the Voice to Parliament, particularly after Melbourne was named as Australia's most populous city, but our Elders want to be involved," Mr Betts said late last month.

"The primary concern of Wurundjeri is that those leading this push for recognition listen to the voice of Elders now. We want a commitment that Wurundjeri have a seat at the table.

"If people don't listen to our voice now, how can Wurundjeri Elders expect a Voice to Parliament to support them? They will consider this as they finalise their position.

"As Traditional Owners, the Wurundjeri Woi-wurrung people are the first and only Aboriginal people with the cultural, legislated, and moral authority to speak for Country."

Mr Betts said Elders want to advise "the people of Melbourne how they intend to vote".

Local Elders say they must have a seat at the table for a Voice to Parliament to be successful.

Consultations have already filtered up to Ms Burney, who met with Elders earlier in the year.

Along with Wurundjeri board members those Elders hold individual positions on the Voice.

Mr Betts said he wants to give the Minister an opportunity to hear their voices "ensure Wurundjeri people have a say in the upcoming referendum and beyond' with a meeting scheduled for May 20.

Wurundjeri told the National Indigenous Times the organisation has no further comment until that meeting has occurred.

A press conference has been scheduled for immediately following the discussion.