The news comes as Obama lands in Greece to assure allies over Trump administration.
Donald Trump's new administration is slowly taking shape as former New York City mayor Rudy Giuliani is said to be the frontrunner for secretary of state.
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Giuliani spoke at a Wall Street Journal forum Monday afternoon, saying several times that he would be interested in the gig.
Former United Nations Ambassador John Bolton is also reportedly being considered for the post.
Firebrand radio host Laura Ingraham is reportedly being eyed as Trump's press secretary. She spoke to Fox News Monday night about the possibility, saying she would be "honored" to take the role but, "I think people are getting a little far ahead of the narrative."
An insider for former Republican presidential candidate turned Trump supporter, Dr. Ben Carson, told Fox News Tuesday morning that he will not join the president-elect’s cabinet.
In the days following the election, Carson was reportedly being considered for the secretary of education post. He has since refused to join, according to the source.
Meanwhile, Steve Bannon, Trump's newly announced chief White House strategist, continues taking heat.
House Minority Leader Nancy Pelosi told reporters Monday: "There must be no sugarcoating the reality that a white nationalist has been named chief strategist for the Trump administration."
Trump campaign manager Kellyanne Conway defended Bannon on the Today show.
“I promise you he’s not as scary, and he is as brilliant a tactician — and our campaign general, frankly, on the field — as everyone is also saying,” she said Tuesday morning. “I know him well, I worked hand-in-glove with him. I feel that these charges are very unfair.”
On Tuesday, President Obama landed in Greece for his final overseas trip to Europe as he tries to reassure American allies about the incoming Trump administration and those who fear U.S. commitment to NATO may weaken under a Trump administration.
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“In my conversation with the President-elect, he expressed a great interest in maintaining our core strategic relationships," Obama said in Athens as he spoke alongside Greek Prime Minister Alexis Tsipras.
"And so one of the messages I will be able to deliver is his commitment to NATO and the trans-Atlantic alliance. I think that's one of the most important functions I can serve at this stage, during this trip, is to let them know that there is no weakening of resolve when it comes to America's commitment to maintaining a strong and robust NATO relationship, and a recognition that those alliances aren't just good for Europe — they're good for the United States, and they're vital for the world."
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