According to data from comparethemarket.com, households in Renfrewshire are already paying 19.9% more than the price cap that is set to be introduced in October this year.
The data also shows that people across Scotland are paying more on their bills than compared to England and Wales.
Commenting, SNP MSP Natalie Don said:
"People across Scotland, including in Renfrewshire are paying the price for sky high energy bills, despite Scotland having an abundance of resources in oil and gas and renewables.
"Under Westminster control, the vast revenue from Scotland's oil and gas industry has been squandered by UK governments for decades and now it is consumers in Renfrewshire who are getting hammered with higher average energy bills.
"This is also a result of the outrageous and expensive transmission charges that are charged in Scotland for companies to access the national grid here.
"The measures announced by the Chancellor last month – welcome though they were - will barely scratch the surface of the rocketing energy bills crippling households now and in the winter months to come.
"High fuel bills in Renfrewshire and across Scotland lies squarely at the door of the Westminster government and shows why Scotland needs the full range of powers that will come with independence."