The R's are building a squad capable of winning promotion and they reportedly feel that Gray could make a vital addition.
QPR want to freshen up their side by signing young and hungry players and they apparently feel that the Brentford striker would make the ideal addition.
Gray has only spent one year playing at Championship level, but his performances have been very impressive.
The rapid striker scored 18 times for Brentford this campaign and QPR seem to think that he could progress even further now he has fully acclimatised to playing in the second tier.
Brentford would be loathed to lose Gray, though, as he is one of their key players, so QPR may be required to pay a big fee to land the striker.
If Gray did move to Loftus Road he would become QPR's third signing of the summer, with Chris Ramsey's side already completing moves for Ben Gladwin and Massimo Luongo.