The White House on Tuesday struggled to defend President Obama’s 2009 claim that people could keep their old health insurance under ObamaCare as thousands of people received notifications that their insurance companies were dropping their plans.

White House press secretary Jay Carney on Tuesday argued that people were only forced from their insurance if their health insurance companies no longer offered their plans.

“If you’ve kept it, you can keep it forever, as long as your insurer offers it,” Carney said on Tuesday.

But many insurers have stopped offering plans that do not comply with regulations issued by the Health and Human Services Department outlining basic levels of coverage. As a result, many consumers who currently buy their own health insurance will not be able to keep the plans they are enrolled in.

Republicans on Tuesday argued this flies in the face of Obama’s 2009 promise that “if you like your health plan, you will be able to keep your health plan” under the new law.