In spite of renewed diplomatic relations with Cuba, the U.S. might not have an ambassador to that country anytime soon.

Any nominee to fill that slot would be subject to a vote by the Senate — a bar that would be "very difficult" to clear, Sen. Bob Menendez, the outgoing chairman of the Foreign Relations Committee, said Sunday.

"I would think it would be very difficult to get an ambassador confirmed," Menendez said on CNN's "State of the Union."

Menendez, himself a Cuban-American, has been a vocal opponent of the president's agreement to restore relations, saying last month: "I think it stinks."

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