White House spokesman Brian Morgenstern responded by attacking Cohen's credibility.
"He readily admits to lying routinely but expects people to believe him now so that he can make money from book sales. It’s unfortunate that the media is exploiting this sad and desperate man to attack President Trump,” Morgenstern said.
Trump has called Cohen "a rat", and a liar, and Cohen said he faced repeated death threats from Trump supporters.
Cohen, 53, is serving a three-year sentence for tax evasion, false statements and campaign finance violations, the last related to payments to silence women who alleged affairs with Trump before the 2016 presidential election.
Cohen was released to home confinement in May given the risks of catching Covid-19 in prison, but then was briefly imprisoned again last month.
A federal judge last month ruled Michael Cohen had been subjected to retaliation for planning to publish his book, and ordered him released again.
A lawyer for Michael Cohen declined to comment.
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