Murujuga is the largest collection of Aboriginal rock art – also known as petroglyphs – in the world.
And custodians of this unique sacred place are concerned that proposed new industrial developments in the region could damage or destroy the ancient artworks.
Raelene Cooper, a Mardudhunera woman, travelled across the country this week in support of the Save our Songlines campaign.
In late January, the Australian government nominated the Murujuga Cultural Landscape for the UNESCO World Heritage List.
If accepted, Murujuga would be the second site in Australia listed for First Nations cultural heritage, after the Budj Bim Cultural Landscape, on Gunditjmara country in Victoria.
The Murujuga Aboriginal Corporation, which represents five language groups in the region, prepared the nomination in partnership with the Western Australian government, with support and advice from the Commonwealth.
However, the Save our Songlines campaign is asking Environment Minister Tanya Plibersek for further protection under Indigenous heritage protection laws.
"The government is confident that the right management arrangements are in place to ensure Murujuga is comprehensively protected and managed at the state and commonwealth level," Ms Plibersek said.
"Traditional owners will continue to be at the forefront of the management and decision-making for this site."
Ms Plibersek is awaiting the final report from an independent assessor.
The Burrup is also an industrial hub, with liquefied natural gas and fertiliser processing plants.
Raelene Cooper told AAP she and other traditional owners were concerned about effects expanding heavy industry could have on Murujuga.
"Murujuga is our everything," she said.
"It's our obligation and responsibility to take this matter up and make our voices heard.
Ms Cooper said traditional owners did not want any more projects developed.
"We don't want our country distorted any further," she said.
"These industries are dangerous for our culture, for our history and for our fight against climate change.
"This place is so special globally, it needs to be protected."
The Murujuga Aboriginal Corporation indicated it could support a proposal for moving some petroglyphs for a new fertiliser processing plant.
However, Ms Cooper, a former chairwoman at the corporation, said that wasn't acceptable.
"Resource companies talk about what they need, they don't ask and they told our elders that whether you like it or not, these pieces would be relocated," she said.
"When you remove the rock art, it's like ripping out teeth.
"If you remove rock art, you remove the spiritual connection with the rock itself, it holds a story and a songline that you cannot replace.
"It will not grow back."