The 20-year-old was spiked in the thigh with a training pole thrown by St Mirren skipper Steven Thompson at the Buddies training ground in April.
The injury caused McGinn to miss the last five matches of the campaign.
“I can confirm we have received a letter and we have responded,” Gilmour told the BBC.
“There’s not a lot I can say about it because our lawyers are obviously involved with John’s solicitors and also our insurers.
“It would be improper for me to make any comment on anything regarding an employee.”