Provincial and territorial leaders will gather in Victoria on Sunday evening for their first meeting together since Finance Minister Jim Flaherty announced the federal government would stop providing health-care transfers at an annual increase of six per cent after 2016-17, and instead tie funding to economic growth.

In an interview airing on CBC Radio's The House, British Columbia Premier Christy Clark and Nova Scotia Premier Darrell Dexter made their positions on health-care funding known ahead of the two-day Council of the Federation meeting.

Clark told host Evan Solomon "the prime minister is right about this. If we keep spending increases at the rate that we have, we will bankrupt the system."

While Clark, who is hosting the meeting, agrees with the federal government's decision to link the funding of health transfers to the rate of growth in nominal GDP, she told Solomon she had a word with Prime Minister Stephen Harper about moving to per-capita funding.

"This idea that we're going to go to a straight per-capita funding for health care without adjusting it for age, it can't happen," said Clark. "I'm not saying throw away per capita. I'm saying refine it."

The move to per-capita allocation was announced by the federal government in 2007 to ensure that all Canadians would receive the same health-care support from Ottawa, no matter where they reside.