Jacinta Nampijinpa Price has described claims she is under investigation for a 14th time for potentially misusing her federally funded car to attend her husband's concerts as a "smear campaign".

Senator Price, the Opposition spokesperson for Indigenous affairs, was assigned a new portfolio for reducing government waste in January.

On Friday, the Sydney Morning Herald published allegations the Warlpiri/Celtic Senator has had to repay expenses she "improperly claimed from the taxpayer" 13 times, at a cost of almost $11,000.

The report alleged Senator Price used her work car on February 17 to watch her husband, Scottish-Australian country singer Collin Lillie at Tarago's Loaded Dog Hotel, located about 70 kilometres northeast of Canberra, the Queanbeyan's Tourist Hotel outside the city, and at the Camden Hotel on the outskirts of Sydney the next day.

Senator Price has admitted to using the car on these dates, via a spokesperson, and said she was in discussion with the Department of Finance to "determine whether any current rectification to my claimed travel is required".

She said she was not subject to any formal investigation by the Independent Parliamentary Expenses Authority.

Many MPs are provided taxpayer-funded leased vehicles for parliamentary business and are required to pay back any expenses incurred if the vehicle is used for purposes "other than for the dominant purpose of your parliamentary business".

The Sydney Morning Herald said the NT Senator had repaid claims totalling $10,926.08 since she was elected in 2022. Her salary is between $280,000 and $292,054 plus allowances.

These include a $1,535.22 travel claim for a member of her staff in the October to December 2023 quarter and seven claims totalling $5825.28 for travel allowance and employee travel in the July to September 2023 period.

Senator Price has been an advocate for eliminating government waste and was awarded her new portfolio to help a future Coalition government "achieve a more efficient use of taxpayers' money".

She has been critical of money used on smoking ceremonies by government departments and has called for a large-scale audit of all Indigenous organisations and land councils.

In a statement on Friday evening, Senator Price said claims she had conducted herself at odds with her government efficiency role were "false" and "nothing more than a smear campaign".

She also said it was "unacceptable" her husband had been dragged into the article, arguing MPs should be able to "expect that our families are not dragged into the work we do for the Australian public".

Mr Lillie featured in ads against the Indigenous Voice to Parliament alongside his wife - who spearheaded the campaign - and was prominent in a recent ABC Australian Story episode about Senator Price.

Senator Price also argued the headline of the article, which claimed she was "under investigation" concerning expenses was "misleading and incorrect".

Over the course of my role as a Parliamentarian, I have taken a proactive approach to my travel expenditure and as part of that, conduct regular internal reviews to ensure my expenses are within the rules," she said.

"Whenever I have become aware of any errors, I have rectified them and made any necessary repayments. This is evidenced by the publicly available figures cited by the Herald."

The Senator added her "diligent and proactive approach" to the issue was a sign of how seriously she took the use of taxpayer funds, something "all Australians should expect of their elected representatives".

"I remain committed to ensuring that taxpayer funds are used appropriately in my role as shadow minister for Government Efficiency," she said.