The former Oasis singer had a fling with the singer, with who he has 15-year-old daughter Molly, just months after he married his first wife Patsy Kensit in 1997, and is reportedly worried about what will be revealed in the book.
A source told The Sun newspaper: ''Liam is understood to be very nervous about what will come out.''
Lisa will write about the experiences of being a groupie in the 1990s, when Liam's old band Oasis were one the most talked about acts during the Britpop era.
The singer-songwriter also has an 11-year-old son, Astile, with Babyshambles singer Pete Doherty.
Liam, 41, also has a 14-year-old son, Lennon, with Patsy, who he was married to from 1997 until 2000, and he split from his second wife Nicole Appleton after it emerged he had fathered a secret child with New York journalist Liza Ghorbani.
The pair had been married for five years when they split in 2013 and have an 12-year-old son together, Gene.
Liam is now dating his former personal assistant, Debbie Gwyther, and the pair spent the New Year together on a romantic holiday in Thailand.
Meanwhile, New York writer Liza has reportedly filed a £2million lawsuit against Liam, who is yet to have a DNA test, for child support.
OK Go are warning us of 'bad people on the rise'.
Depp received the Favourite Movie Icon award at the People's Choice Awards on Wednesday, and thanked fans for standing by him through a turbulent...