On Thursday, however, White House Press Secretary Sarah Sanders suggested from the briefing room podium that the website should consider ousting Bannon.
"Suddenly everywhere people are going, 'Oh my God, it's true, he has no clothes'. You're the best piece of tail he'll ever have".
He also hit back at claims that the book was untruthful.
The author of a damning book on the Donald Trump presidency has defended his work despite the US president's suggestion that it is "full of lies, misrepresentations and sources that don't exist". "And his staff is no better".
Amazon appears to have hardcover copies in stock for $20.98, or the Kindle version for $14.99.
The book is already a top-seller, launching days early yesterday after Trump's White House failed to silence the book.
"They all say he is like a child".More news: Favre rooting for Vikings in playoff game
"I feel that that is not the case now", Wolff said.
Mr Bannon was sacked by Mr Trump in August.
In an interview with CNN, Mr Tillerson said: "I've never questioned his mental fitness".
Wolff also describes that on the day of Trump's inauguration last year, the billionaire "was angry that A-level stars had snubbed the event", adding he was "visibly fighting with his wife, who seemed on the verge of tears". So far, Wolff has stood by his reporting.
The tell-all is composed of quotes and interviews from people in the Trump circle of influence, from the campaign to the presidency. Following Trump's threatening and dangerous tweets about North Korea and Trump's "nuclear button", Richard W. Painter-who served as an adviser to President George W. Bush-tweeted his own concerns about Trump's psychological state, too.
The book's publication this week has prompted a furious response from the White House.