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.