The publication cites executives from four major publishers, on condition of anonymity, who claim to have received a manuscript from the filmmaker's agent. Some of them even said or even read the text.
AFP's top five publishers, HarperCollins, Hachette, Macmillan, Simon & Schuster and Penguin Random House, did not comment on the issue.
Woody Allen's agent did not respond to AFP questions.
Since the #MeToo movement began, the director was hit by allegations of sexual abuse by his adopted daughter Dylan, which would have occurred in 1992.
Although the lawsuits were filed at the time after two separate investigations, Dylan, backed by his foster mother Mia Farrow and his brother Ronan, renewed their charges in early 2018. Allen always denied the allegations.
As his image deteriorated, several actors and actresses who worked with Woody Allen publicly distanced themselves and said they did not want to work with him again.
In early February, the director sued the Amazon group for breach of contract, blaming the Internet giant for ending its production deals.
Amazon has confirmed that it has broken its commitment to fund four films totaling $ 68 million, justifying its decision on "repeated charges" against the filmmaker and his "controversial statements."
The lawsuit is in progress and may be tried in 2020.