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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 GrahamTrump’s feud with the press in the spotlight Senators eye new sanctions against Iran Republicans play clean up on Trump's foreign policy 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 ClintonFive big Trump narratives to watch NBC: Russia setting up dossier on Trump Chelsea Clinton attends Muslim solidarity rally in NYC 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.