Harry Redknapp's side were reported to have tabled a bid for the youngster, who has been on a three-day trial with Celtic recently during the club's winter break in Spain.
According to McKinna, QPR contacted the Mariners with a request for Rogic to go on trial with them, but the director says that no offer has been made.
|7/4||QPR are 7/4 with Bet365 not to be relegated from the Premier League this season|
"We did have an enquiry from a UK agent with Tommy coming to trial, which was great, but we said he wouldn't be going to trial. That's all it's been."
QPR are looking to add to their squad following a poor first half of the Premier League season which sees them bottom of the table with 14 points from 22 games and only two wins.