WASHINGTON (AP) — There's new pressure on President Barack Obama to live up to the promise he made -- that people who like their health insurance policies will be able to keep them.

And it comes from former President Bill Clinton, a fellow Democrat who has helped Obama promote the new health care law. Clinton says Obama should find a way to let people keep their existing coverage, even if it means changing the law.

The White House has said it's working on changes that would ease the impact of the cancellation notices that millions of people are getting.

House Republicans have drafted legislation to give consumers the opportunity to keep their coverage. And Democratic Sen. Mary Landrieu of Louisiana has proposed legislation requiring insurance companies to reinstate the canceled policies.

But White House spokesman Jay Carney says more than half of the people getting termination notices will benefit from better insurance at lower prices -- either through expanded Medicaid or through new health care marketplaces. As for the rest, he says, "The president has instructed his team to look at a range of options."

He says the White House opposes a House GOP measure that would allow insurers to keep selling policies that don't offer the type of benefits required by the new law.