Sebelius told Gupta that President Barack Obama was unaware of the problems with the site until a few days after its launch. Customers have had trouble purchasing insurance through the website since it went live on Oct. 1, due to numerous technical issues and glitches. 

The Obama administration has brought in outside experts in a "tech surge" to help remedy the problem — including Jeff Zients, the former acting head of the Office of Management and Budget. 

"Right now, we've asked all of our contractors to look at their teams on the ground and bring in their absolute A team," Sebelius said.