SSP has reportedly hired Lazard as it looks to go public on the London market.
The firm, which runs cafes and restaurants at airports and train stations, could be valued at £2bn in a stock market float, according to the Telegraph.
SSP hired former WH Smith boss Kate Swann to lead the firm last summer, and has long been the subject of IPO chatter.
The firm is currently owned by Swedish private equity company EQT and posted annual earnings of £153m on revenues of £1.83bn earlier this month. It runs travel stores including M&S Simply Food and Upper Crust.
SSP declined to comment.
City A.M. Reporter