White House press secretary Jay Carney on Tuesday dismissed calls for Health and Human Services Secretary Kathleen Sebelius to be fired for the botched rollout of Obamacare's insurance exchanges, saying that she had the trust of President Obama.

“The secretary does have the full confidence of the president,” Carney told reporters.

The websites responsible for providing information on the Obamacare exchanges and enrolling consumers have been plagued with a series of technical errors since they opened on Oct. 1.

The administration has said that the problems were caused by the large traffic to the sites and that they were working quickly to resolve the issues.

But critics of Obamacare have seized on the faulty rollout, arguing that it raises questions about the entire law and have redoubled their efforts to repeal or block the president’s health reforms.

Carney’s comments came in response to a question about whether Sebelius should be fired.

Former White House press secretary Robert Gibbs earlier this week called the rollout “embarrassing.”

“When they get it fixed, I hope they fire some people that were in charge of making sure that this thing was supposed to work,” he added.

Sen. Pat Roberts, R-Kan., last week also said Sebelius should lose her job because of what he called “gross incompetence.”

Carney said the administration was “focused on our number one priority: making the implementation of the Affordable Care Act work well.”

“The president wants these matters addressed,” he added.