WASHINGTON — The White House is offering more money to insurance companies as an incentive for them to let people keep insurance policies that were to have been canceled next year.

The administration floated several proposals on Monday to “help offset the loss in premium revenue and profit” that it said might occur if insurers went along with President Obama’s request to reinstate canceled policies.

Millions of people have received notices saying their policies were being canceled because they did not comply with minimum coverage requirements of the new health care law.

In a notice published Monday in the Federal Register, the administration acknowledged that insurers had a valid concern: They may be stuck with sicker, higher-cost customers in the new insurance exchanges because healthier Americans will stay on their existing health plans for another year.