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McCain has been an outspoken critic of Susan Rice, the ambassador to the United Nations, after she went on Sunday talk shows and said that the attack that killed four Americans at the U.S. Consulate in Benghazi appeared to be a spontaneous protest that was hijacked by extremists. Intelligence agencies later said it was most likely a planned assault by a militant group.

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 Olin GrahamDurbin: I had 'nothing to do' with Curbelo snub Republicans jockey for position on immigration Overnight Health Care: House passes 20-week abortion ban | GOP gives ground over ObamaCare fix | Price exit sets off speculation over replacement 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 Diane Rodham ClintonChris Murphy’s profile rises with gun tragedies DNC, RNC step up cyber protections Gun proposal picks up GOP support 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.