(CBS News) On "Face the Nation," the Chair of the House Intelligence Committee, Mike Rogers, R-Mich., said the Department of Justice's appointment of two U.S. attorneys to look into national security leaks is a "good start, maybe."
Rogers said he will be watching the process and the outcome of the investigation to determine if an investigator independent of the Obama administration should be appointed.
"We need to find out if they will have that independence," Rogers said. "Can you have a U.S. Attorney assigned... through the Attorney General, investigate something that is clearly going to be most senior levels of all of the security, the DoD, Attorney General's office and even the president?"
His counterpart on the Senate Intelligence Committee, California Democrat Dianne Feinstein, said, "Hopefully it's enough to get to a relatively quick disposition."
Members of Congress expressed concern last week about national security leaks after an article in The New York Times detailed an American and Israeli cyber-attack against Iran. Republican Senator John McCain openly questioned the White House's involvement, suggesting that the leaks were for President Obama's political gain.
Feinstein told host Bob Schieffer that the investigators "have an opportunity to do the investigation quickly, and if there were unauthorized leaks, to get to the bottom of it."
Rogers said he wants to "get to the bottom of this" because "we know that sources' lives are in danger and operations importantly going forward are in danger. That is a serious blow to national security."
Feinstein agreed on the importance of the investigation. "We know that there are groups that if they can will attack us. And therefore, the intelligence is related to the nation's security, and I think that's an important point," she said.
In response to a question by Schieffer on whether the White House itself leaked information to "make the president look good," Feinstein said, "I have no idea. No, I do not believe that."