"I have real questions about this. I think the timeline has to be looked at. I'm suggesting there's a lot of unanswered questions," Rep. Peter T. King (R-N.Y.) said on CNN's "State of the Union."
King, the House Homeland Security Committee chairman, said the current timeline "just doesn't add up."
Republicans want Petraeus to testify as a civilian. King called him "an absolutely necessary witness." Sen. Saxby Chambliss (R-Ga.), vice chairman of the Senate Intelligence Committee, said he "would not rule out" calling Petraeus.
A host of questions remains about the scandal that upended the career of Petraeus, one of the most influential national security officials of his generation. It's not clear, for example, whether the FBI obtained a warrant to read Petraeus' email, or merely reviewed messages he sent that resided in Broadwell's account.
It's also unclear why the FBI did not notify the White House that the CIA director had been caught up in an investigation. Doug Heye, a spokesman for Rep. Eric Cantor (R-Va.), said Cantor had a conversation last month with an FBI whistle-blower about the affair and potential "national security concerns."