The Washington Post, which has a pre-publication of the book The Room Where It Happened: A White House Memoir - which the White House is trying to block - reports Mr Bolton's claim that Mr Trump backed the controversial camps during a conversation with Mr Xi at a G20 meeting in Osaka, Japan, in 2019.
The filing Tuesday offers insight into the process behind the pre-publication review, acknowledging that the National Security Council's senior director for records Ellen Knight had completed her review of the book and "was of the judgment that the manuscript draft did not contain classified information".
In a promotional summary released last week, Simon & Schuster marketed it as "the book Donald Trump doesn't want you to read", adding that Bolton "argues the House committed impeachment malpractice by keeping their prosecution focused narrowly on Ukraine when Trump's Ukraine-like transgressions existed across the full range of his foreign policy".
Bolton's attorney Charles Cooper has said that the memoir does not contain any classified material and that Bolton participated in an arduous review process to vet it for material that could endanger national security.
Correspondents say the episode is reminiscent of actions that led to Mr Trump's impeachment. Bolton also gave an interview to ABC's Martha Raddatz, which is set for airing Sunday (June 21), ahead of the release of "The Room Where It Happened" on Tuesday (June 23). The book is being touted as a chance to take readers behind the scenes of the Donald Trump White House.
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In February, President Trump was impeached for withholding military aid to pressure Ukrainian President Volodymyr Zelensky into starting a corruption investigation into Democratic presidential hopeful Joe Biden and his son Hunter. "This is a transparent attempt to use national security as a pretext to censor Mr. Bolton, in violation of his constitutional right to speak on matters of the utmost public import".
Trump fired Bolton last September after roughly 17 months as national security adviser.
"He then, stunningly, turned the conversation to the coming United States presidential election, alluding to China's economic capability to affect the ongoing campaigns, pleading with Xi to ensure he'd win", Mr Bolton writes, according to the paper.
A letter to Bolton from John Eisenberg, a deputy White House counsel, noted that the former national security adviser signed a nondisclosure agreement when he began his White House service in April 2018.