(CNN) -- Senate Minority Leader Chuck Schumer said Sunday that the Senate should refuse to confirm a new FBI director until the Department of Justice appoints a special counsel to lead a probe into allegations of collusion between the Trump campaign and Russia.

"I think there are a lot of Democrats who feel that way," Schumer said on CNN's "State of the Union." "We'll have to discuss it as a caucus, but I would support that move."

Virginia Sen. Mark Warner, the top Democrat on the Senate intelligence committee, proposed the idea after President Donald Trump fired FBI Director James Comey last week.

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