EQT will likely exit part of its stake via the IPO and the timing and structure of a deal have yet to be finalised, said Sky.
SSP led by former WH Smith chief executive Kate Swann, who left the retail giant in June last year.
The Swedish private equity firm bought SSP from Compass Group in April 2006.
In November it was reported that another company backed by EQT, bathroom ceramics business Sanitec, was looking to float in an IPO that could value it at up to SEK6.6bn ($1bn).
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