It is asking anyone involved to contact them with details of their experience.
As first reported by the Times, after becoming aware of the fans’ claims, the FA wants to learn more from the clubs and will speak to safety authorities.
There were 4,500 Newcastle fans in the Leppings Lane End for the game, which ended in a 2-1 win for League One side Sheffield Wednesday against their Premier League opponents.
The Hillsborough disaster occurred during a FA Cup semi-final between Liverpool and Nottingham Forest.