According to media reports, Cairns has been investigated by the Metropolitan Police, who have passed on a file to the Crown Prosecution Service (CPS).
Cairns had won his libel trial against former Indian Premier League (IPL) chairman Lalit Modi in 2012, who had accused him of fixing. Cairns is now being investigated by the International Cricket Council (ICC) for his role in match-fixing.
The 42-year-old Cairns had sued Modi, the former chairman of the Indian Premier League, over an "unequivocal allegation" which, he said, turned his achievements to "dust".
In October 2012, Modi lost his appeal against a 90,000 pounts libel award to Cairns over the accusation of match-fixing.