Minister Scullion said it appeared to be a way to gain better representation in parliament and seemed to be a "quick and direct" plan.
However, it was more important to discuss it with Indigenous Australians than politicians.
"My opinion means very little. My important responsibility is to reflect the opinions and feelings of my mob," he told reporters in northeast Arnhem Land on Monday.
Prime Minister Tony Abbott, also in Arnhem Land, did not rule out the idea at least until the government has had a chance to gauge public opinion.
"All sorts of people will put forward all sorts of proposals in the coming weeks and months," he told reporters.
Speaking to the media on Monday, Senator Lambie called for the numbers of federal politicians to reflect the population of indigenous Australians, citing Maori seats in New Zealand's parliament as evidence the policy would work.
She said that a similar system could address Indigenous inequality, particularly around mortality and social issues.
"I'm looking at seats all around, in the Senate and in the House of Reps," she said.
Senator Lambie, who revealed she had Indigenous heritage during her maiden speech to parliament, wants about four per cent of parliamentary seats reserved for indigenous politicians.
That would mean about nine seats across both houses.
The move could make it easier for Senator Lambie to retain her seat in the upper house, being one of only three Indigenous Australians in federal parliament.
However, her claims to be linked to the Mannalargenna people have been questioned by Aboriginal elder and direct descendant.
Clyde Mansell has challenged Senator Lambie to provide proof, something she says is not necessary.
“I know what's in my blood,” she said.
“If Mansell wants to take me on, then I guess I’ll meet him up at the hospital and we’ll both have a DNA test.”
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