Trump will meet Wednesday with Lieberman and other candidates, including acting FBI Director Andrew McCabe, former Oklahoma Governor Frank Keating, and former top FBI official Richard McFeely, Spicer added.

During a briefing on Air Force One en route to Washington, D.C. from New London, Connecticut, where Trump delivered a commencement address to Coast Guard cadets, Spicer said “the president will continue to meet with candidates for FBI director.” But a senior administration official tells NBC News that this is the first day that the president will meet with candidates to replace James Comey.

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These candidates have been sent over from the Department of Justice, the official said.

When asked by MSNBC if he would accept if he was offered the job of FBI director, Lieberman declined to say.

“It was unexpected. Not something I was seeking,” Lieberman, an Independent, said. He was the Democratic Party’s nominee for vice president in 2000, and Connecticut’s attorney general before being first elected to the Senate in 1988.

Three of the four candidates mentioned Wednesday were not among those names initially reported to be under consideration, with the DOJ conducting interviews with seven additional candidates over the weekend.