The White House says Rice was only following their talking points based on the best available intelligence at the time, but McCain and Sen. Lindsey GrahamLindsey GrahamGraham: 'Lucifer may be the only person Trump can beat in a general election' Sunday shows preview: Cruz pulls out all the stops ahead of Indiana Many Republicans uninterested in being Trump’s VP: report MORE (S.C.) have accused Rice of misleading the public.
Rice is rumored to be a top candidate to become Secretary of State when Hillary ClintonHillary Rodham ClintonSanders: 'The convention will be a contested contest' Jane Sanders emerges as Bernie's go-to messenger Aide: Trump was trying to point out Clinton is a 'failed secretary of State' MORE steps down, but McCain and Graham have said they would oppose her nomination.
McCain said on Sunday that he would "give all nominees the benefit of a hearing process."
But he added that Rice should go back on "Face the Nation" to explain that she gave the wrong information to the American people.
"That might be a beginning," McCain said.