House Intelligence Committee Chairman Mike Rogers (R-Mich.) suggested Sunday that President Obama might have been told about an investigation into former CIA director David Petraeus's affair before Election Day.

Rogers suggested that Attorney General Eric Holder may have told Obama informally, while emphasizing that he has no evidence to support that claim.

"I'm not sure the president was not told before Election Day," Rogers said on NBC's "Meet the Press." "The attorney general said that the Department of Justice did not notify the president, but we don't know if the attorney general (did)."

Republicans have suggested that the investigation was covered up until after Election Day to avoid an embarrassment for the White House before voters determined whether Obama would win another four-year term.

Rogers said Holder could simply clarify whether the information was shared informally.

"The attorney general knew months before this," Rogers said. "There was no formal notice to both Congress or the intelligence community. We just have to ask the question. I hope he'll come out and talk to us about it. We could resolve this very quickly with a conversation in the intelligence spaces if we did have the conversation."

Senate Intelligence Committee Chairwoman Dianne Feinstein (D-Calif.) countered that investigations are not disclosed because the FBI does not want to politicize its work.