Top insurance industry officials warned Sunday that President Obama’s push to delay health plan cancellations would only make things worse.

Obama announced his proposed fix last week after insurers cancelled millions of individual market policies. The cancellations have created a massive political headache for Democratic lawmakers and a president who repeatedly asserted that Americans would be able to keep their plans.

“We have a policy disagreement,” Karen Ignagni, head of the industry group America’s Health Insurance Plans, told “Fox News Sunday.” “When you set rules in place, and an industry meets them, and then the rules are changed, that creates… problems.”

Obama summoned industry officials to the White House on Friday to try to assuage their worries. Ignagni said her group still has concerns.

She refused to criticize the White House, however, although it has renewed attacks on the industry for crafting plans that can leave Americans exposed to catastrophic expenses. She said the industry is working with the administration to come up with a solution.

“We have work to do,” she said. “I’m not in the blame game biz.”