That move spurred Wolff to publish the book four days earlier on Friday instead of its intended release date of January 9. Earlier, he had tweeted, "Thank you, Mr. President".
Defending his "expose", Wolff has said he spent three hours with Mr Trump and "spoke to people who spoke to the President on a daily, sometimes minute-by-minute basis".
Lee had told CNN that Trump is showing signs of impairment that the average person could not see.
Wolff's book also claims President Trump eats McDonald's because he fears being poisoned.
Wolff's explosive book, which was released early Friday morning, provides a behind-the-scenes look into Trump's presidential campaign and administration and his reputation within the White House.
"Fire and Fury" is on reserve at the Springfield Barnes and Noble.
The book's release date was brought forward but with Amazon quoting an in-stock date of January 10, and many bookstores in the United Kingdom not expecting deliveries until next week, the small number of copies which landed at Waterstones Piccadilly on Friday "flew off the shelves in minutes".
The Trumps' marriage is "perplexing" to those around them, Wolff claims.
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The US President's lawyers tried to prevent the book's publication, warning that legal action was "imminent".
This also marks the latest attack from Trump on Bannon, his former chief strategist.
"I want to get an insider's opinion into what was going inside this White House", John Cota explained when asked about his interest in the book.
Some of Mr. Bannon's preferred candidates, like former Rep. Michael Grimm of NY, denounced Mr. Bannon after his comments became public.
Wolff called Trump "ineffectual", saying: "He can't really do anything". Trump lawyers tried, unsuccessfully, to threaten the book's publisher this week, and on Thursday, White House press secretary Sarah Huckabee Sanders called the suggestion that Trump is mentally unwell "disgraceful and laughable".
"I am not a hit man", Wolff said.
The tell-all diary outlines, among other things, Trump's sour relationship with ex-aide Steve Bannon.
"I absolutely spoke to the president", Wolff said.
The quotes reveal that though the book eviscerates President Trump and almost everyone he has working for him at the White House, even liberals in the media think the book and its author are untrustworthy.