Graham said Sunday he and McCain "are hell-bent on making sure the American people understand this debacle called Benghazi." The South Carolina Republican says he wants to understand what happened in September at the U.S. consulate in Libya that left four Americans dead.
McCain says he also wants answers about policies on torture and the Arizona senator says he deserves answers.
The Senate Intelligence Committee is scheduled to vote early this week on Brennan's nomination. Brennan is currently President Barack Obama's counterterrorism adviser.
Graham and McCain spoke to CBS' "Face the Nation."
More Nation & World Headlines
Gunman in custody in Planned Parenthood shootings 4:43 p.m. Big balloons, heavy security for NYC Thanksgiving parade Farm recalls produce used in Costco salad linked to E. coli Turkey-Russia spat over downed Russian warplane escalates Hollande and Putin agree on closer anti-IS coordination Holiday shoppers get a head start on Thanksgiving Trump denies mocking disabled reporter, demands apology Arkansas a refuge from rising seas in Marshall Islands
Our new comment system is not supported in IE 7. Please upgrade your browser here.