He worked in the National Security Council under former President George W. Bush, where he focused on counterterrorism.
The White House has not publicly announced his appointment, nor is it known whether he has accepted the position, which is not subject to Senate confirmation.
When we learned this week that retired Navy Vice Adm. Robert Harward was offered the job, there were bipartisan sighs of relief.
CBS reports Harward didn't want to keep Flynn's deputy, K.T. McFarland.
Vice Admiral Harward formerly served as the Deputy Commander of the United States Central Command, under the leadership command of General James Mattis who now serves as the Secretary of the Defense Department. After the Washington Post reported Flynn discussed sanctions with Russian officials in December - and thus, while President Obama was still in office - the national security adviser faced backlash and subsequently resigned.
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A White House official told CNN that Harward refused the position due to financial and family reasons, but sources close to Harward attribute his decision to the increasingly hard situation in the White House.
Acting National Security Adviser Keith Kellogg waits for the arrival of President Trump at the top of the steps of Air Force One at Andrews Air Force Base in Md., Friday, Feb. 17, 2017.
To back up his claims that all is well, analysts say it is imperative the president appoints a national security advisor as soon as possible.
After more three decades in the military, Harward is now the chief executive of the United Arab Emirates unit of defense contractor, Lockheed Martin. Lt. Gen. Keith Kellogg worked with the transition team, the White House team and is now serving as the acting national security advisor anyway.
Harward was scheduled to meet with Trump Thursday night.
In of his first acts as president, Trump signed an executive order naming his chief strategist, Stephen Bannon, as a permanent member of the NSC. The official said the administration is making a final decision and is talking to a few other people, saying there are one to two others beyond Kellogg and Petraeus who are in the mix.