Petraeus, former U.S. Army chief in Afghanistan, resigned his CIA post last week after conceding he had an extramarital affair.
But Sen. Tom Coburn, R-Okla., said Petraeus still needs to testify about the Sept. 11 terror attack on the U.S. Consulate in Benghazi that killed four Americans, including the U.S. ambassador.
"Well, I think he needs to answer" security questions about the attack, Coburn said on NBC News' "Meet the Press." "He was obviously the person in charge of the CIA and he has information that probably other people don't have. So I think it's still going to be important that his input comes into the conclusion and what we find about what went wrong ... We obviously weren't prepared. I think you have to spend time to find out what happened and how it happened. And get to the bottom of it so we don't see this kind of mistake again."
Sen. Chuck Schumer, D-N.Y., agreed.
"Yes, I think first we ought to see what (interim CIA Director Michael) Morrell has to say and is he able to give the committee the information that General Petraeus dug up when he was over there in Iraq and then we should take it from there," Schumer said.