A slim majority of Albertans would support some kind of national cap on carbon emissions from the oil and gas sector, two new polls suggest.

The polls, conducted by different polling firms at the same time with the same questions, come after Alberta Premier Danielle Smith warned Ottawa last month not to test the "resolve" of Albertans to oppose such measures.

"(The results) conflict with the narrative that our current government is telling Albertans and Canadians that Albertans do not support this kind of action," said Joe Vipond of the Canadian Association of Physicians for the Environment, which commissioned the polls.

"Our polling suggests that's not correct."