RNC video: 'Fire Sebelius'

"The Obama administration had red flags and warning signs that ObamaCare wasn’t ready for primetime, but Sebelius and company ignored them, flipped the switch and watched as the site crashed," Priebus said. "Sebelius abused the trust and tax dollars of the American people."

Priebus has previously called for Sebelius to resign or be fired. So have Sen. Pat Roberts (R-Kan.) and Rep. John Fleming (R-La.). 

Former White House press secretary Robert Gibbs said Monday that someone should be fired over the health website's problems, but did not give specific names.