The England midfielder has already been fined pounds 20,000 by Rangers and has issued a formal public apology after imitating a flute-player while warming up for the match on 2 January at Parkhead.
Regarded as an inflammatory gesture, the incident brought protests from the Celtic board, as well as their fans, and it will be discussed by the SFA's executive committee today. Gascoigne will not be appearing in person but will receive written notification of any punishment.
David Findlay, the SFA spokesman, said: "There have been a variety of letters received following an incident at the Old Firm match.
"The committee will discuss the matter relative to the player's actions and if they determine it is necessary to take the matter further they would wish to inform the parties concerned first before making any public statement."
Gascoigne is currently battling to regain full fitness in time for Rangers' game with Dunfermline at Ibrox on Saturday, after appearing as a substitute in their weekend defeat by St Johnstone.Reuse content