As part of the settlement, more than 1,700 words were added or deleted, with the publisher also agreeing to make a payment to charity in lieu of damages.
HarperCollins said on Wednesday that “while the book always included a denial that Mr Abramovich was acting under anybody’s direction when he purchased Chelsea, the new edition will include a more detailed explanation of Mr Abramovich’s motivations for buying the club.
“HarperCollins has also made clear in the book that there is no evidence, beyond the statements of the individuals themselves, supporting claims made to the author by [former Putin aide] Sergei Pugachev and two other unnamed individuals about the purchase of Chelsea Football Club.”
Other statements about Mr Abramovich’s former oil firm Sibneft and the late Russian tycoon Boris Berezovsky were also corrected.
The publisher said: “HarperCollins and the author apologise that these aspects of the book were not as clear as they would have liked them to have been and are happy to have now clarified the text.”