Washington (CNN) House Intelligence Chairman Adam Schiff said Thursday that transcripts from the impeachment inquiry's closed-door interviews could start being publicly released as early as next week.

Schiff made the revelation when he told CNN's Chris Cuomo on "Cuomo Prime Time" that accusations from Republicans that the minority party isn't getting enough time to ask questions in the closed-door depositions are false.

"Those arguments you've heard are almost completely false, with only one exception," Schiff said. "And when you see the transcripts, and we expect to begin releasing them as early as next week, you'll see that the Republicans have every bit as much time to ask questions."

The public release of the transcripts would mark a significant step for the public's knowledge of what's been said in the impeachment inquiry's depositions thus far. All the interviews have been behind closed doors, and what is known about them has come from the release of witnesses' opening statements to the media and leaks from those inside the room.

The House voted on Thursday to formalize procedures for the impeachment inquiry, including moving toward the public release of transcripts and public hearings. The inquiry is rooted in a whistleblower complaint that deals with a phone call President Donald Trump had with Ukrainian President Volodymyr Zelensky on July 25. A transcript of the conversation released by the White House shows Trump repeatedly pushed Zelensky to investigate former Vice President Joe Biden and his son, Hunter.

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