The British tabloid The Mirror says the celebrity chef would talk about her acrimonious divorce from art dealer Charles Saatchi.
Saatchi, 70, has accused Lawson, 53, of being "so off her head" on drugs that she allowed two personal assistants to allegedly spend $1,119,934 on designer clothes and accessories using Saatchi's credit cards.
"For the moment she is determined to maintain a dignified silence even though so much has been said about her life. She has asked her family and close friends to say nothing because she wants to go on TV, have her say and then try to move on. Her career is really taking off in the States which is why she and her team are keen on Oprah," a friend of Lawson's told The Mirror.