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
Protesters to target Chicago shopping on Black Friday Americans hit the road for Thanksgiving President Obama pardons a pair of turkeys Signed editions of Harper Lee novel offered for $1,500 U.S. suspends personnel over botched Afghan attack Russia sends air-defense missiles to Turkey Casey Kasemís widow sued for wrongful death Can a five-hour Alaskan train ride be compelling Thanksgiving viewing?
Our new comment system is not supported in IE 7. Please upgrade your browser here.