On Friday, President Trump praised a major Republican donor family for distancing themselves from Bannon.
The US president has dismissed the book, calling Wolff a "loser".
He added: 'What they mean by that is he has the need for instant gratification. But the publisher, Henry Holt, moved up the release date from later this month to Friday amid the publicity, and hard copies were quickly sold out in the Washington area. People were lining up at bookstores at midnight. So let me say very forthrightly: This book is not about Steve Bannon.
KEITH: But the book that resulted is jam-packed with the kind of quotes and observations no White House would ever want to be hit with.
"This unnerved some inside the White House counsel's office, and even led one of (White House Counsel Donald F. McGahn) Mr. McGahn's deputies to mislead the president about his authority to fire the F.B.I. director", the Times report says.
Money: Or more specifically, how legislators can agree on funding the federal government for the current fiscal year.
Bannon spoke out during a call-in segment of the "Breitbart News Tonight" radio show on Sirius XM hours after Trump's statement was issued, sharing kind words about the president.
"I will quote Steve Bannon - he's lost it", Wolff said, referring to Trump's former strategist. Some lines in some areas of the country went around the block.
But Mr Wolff has stood by his account and said Mr Trump's threat of legal action to stop publication was only boosting his sales.
Wolff said Friday he had spoken to Trump since the inauguration.
"He never discussed this book with the president", Sanders said.
Michael Wolff's book, 'Fire and Fury: Inside the Trump White House', was published yesterday after it was brought forward given the intense public interest.
"In what way?" the host responded.
"Why? You've already done enough for him".
Speaking on US morning TV, Wolff, who spent time embedded in the White House and who spoke to a number of senior staff members said nobody in the West Wing took Trump seriously and all doubted his fitness for office.