Rangers are looking to bolster their defence in the upcoming transfer window, with Jimmy Floyd Hasselbaink keen to improve his squad.
QPR have already been linked with Brentford’s Jake Bidwell, but it seems that they have now turned their attentions elsewhere, after the Bees demanded £3 million for the full-back.
Forsyth is believed to be on QPR’s wishlist, with Hasselbaink hoping to do a deal with new Derby manager Nigel Pearson.
Forsyth’s progress at Derby has been blocked by injury, with Marcus Olsson taking his place in the Rams’ starting line-up.
Forsyth made just 13 appearances for Derby last season, and he has not played since November.
If QPR do make a bid for Forsyth they are unlikely to get a deal done without facing competition.
Brighton & Hove Albion and Fulham are also reportedly interested in the 27-year-old, who has been at Derby since 2013.