Labor's spokesperson for Indigenous Australians says there should be scrutiny of the deal which handed the copyright of the Aboriginal flag to a privately-owned company.
"I am incredibly concerned about the uncertainty around the Aboriginal flag," Ms Burney told SBS News on Tuesday.
"The Aboriginal flag is a national symbol. It is recognised by everyone in this country. And the idea that it can be privately owned by a company to me just does not seem right."
Indigenous charity sent bill for $2,200
WAM Clothing was given exclusive rights to use the flag on garments after a deal with Luritja designer Harold Thomas earlier this year.
A not-for-profit Aboriginal medical service, the Indigenous Wellness Centre in Queensland, .
WAM clothing claims it is the “exclusive worldwide licensee for the use of the Aboriginal flag on clothing, physical media, and digital media”.
The terms of the deal have not been disclosed, with the company citing confidentiality.
In a statement, WAM Clothing said interested parties seeking more details of the license and what it involves "are invited to contact us".
Calls for 'monopoly' to stop
Other groups report being sent 'cease and desist' letters for using the Aboriginal flag on T-shirts and on social media.
Aboriginal health promotion business Spark Health Australia says its Clothing the Gap products with the Aboriginal flag prompted the letter to be sent to them.
The group has since started an online petition calling for a change to the licensing deal.