"If you had one of these plans before the Affordable Care Act came into law and you really liked that plan, what we said was you can keep it if it hasn't changed since the law passed," he said.
White House spokesman Jay Carney argued those being forced to find new plans will receive better quality of coverage.
"What we're talking about here is the five percent in the country who currently purchase insurance on the individual market," Carney said last month. "And that market has been like the Wild West. It has been under-regulated, it is the place where Americans have most keenly felt the challenges posed by the insurance system in this country."
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Health and Human Services Secretary Katherine Sebelius acknowledged in a hearing Wednesday that a "majority" of those in the individual market would end up with plans with better coverage while "others will have to choose" an ACA-compliant policy.
Frustration among even some Democrats supportive of the Obamacare bill boiled over this week as coverage of the dropped plans continued.
Sen. Max Baucus, the Democratic Senate Finance Committee Chairman and a key author of the bill, called the problems "unacceptable" during a hearing at which Health and Human Service Secretary Kathleen Sebelius was grilled on Wednesday.
"It has been disappointing to see members of the administration say they didn't see the problems coming," he said.
—By Chuck Todd, NBC News