The French side defeated Lille 1-0 on January 29, through Gaetan Laborde's goal.
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After the match, a pornographic film made in the stadium toilets emerged on social media.
Nice have made a complaint to police, with legal action being considered, for 'association of the image of the stadium with pornographic activity'.
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The club is owned by British billionaire Jim Ratcliffe, who is interested in buying Manchester United and considering a bid for his childhood club.
It has been revealed that suitors must submit offers to the Red Devils by Friday, with the Glazers looking for around £6billion.
There is also believed to be serious interest from a Qatari-led consortium.
Initial offers could come in at just £4bn, well below the Glazers' valuation and it remains to be seen whether they accept.
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Nice's victory over Lille was their fourth-win on the bounce, after they had previously beaten Lens, Marseille and Ajaccio.
Ex-Chelsea midfielder Ross Barkley, Juventus star Aaron Ramsey and Arsenal loanee Nicolas Pepe ply their trade there.
Former Leicester captain Kasper Schmeichel and ex-Fulham defender Joe Bryan also play for the Ligue 1 side.
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