Such bipartisan agreement in Washington come at a time politicians are still pushing to seek answers regarding the September 11, 2012, attack on the U.S. consular compound in Benghazi, Libya, which killed four Americans, including Ambassador Christopher Stevens.
Since then, Republicans have been pressing President Barack Obama's administration for answers, with some accusing officials of covering up what happened in Benghazi and not doing enough to track down the attackers.
Eight GOP lawmakers are asking that incoming FBI Director James Comey brief Congress within 30 days about the investigation. They say the administration's inquiry thus far has been "simply unacceptable," according to a draft letter obtained by CNN.
Earlier this week, Vice President Joe Biden and senior State Department officials went to Congress to discuss embassy security.
Biden also briefed congressional leadership, key committee chairmen and ranking members about the latest threat concerns, a source who attended the meeting said.
Another official said the recent intelligence might not have warranted such a response before the Benghazi attack, given the political firestorm it created for the Obama administration.
On Thursday, State Department spokeswoman Marie Harf said the agency was taking the steps at diplomatic sites out of an abundance of caution.