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 GrahamOvernight Finance: McConnell offers 'clean' funding bill | Dems pan proposal | Flint aid, internet measure not included | More heat for Wells Fargo | New concerns on investor visas Senators buck spending bill over Export-Import Bank Pelosi pans latest GOP stopgap spending offer 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 ClintonTrump: Sanders supporters 'like Trump on trade, a lot' Clinton ties Trump's refusal to release tax returns to Russia in ad Clinton's lead narrows to 3 points in Pennsylvania 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.