The R's are reportedly considering hiring the former Fulham boss.
The Dutchman has been out of work since being sacked by Fulham in 2013, having also managed Tottenham Hotspur in the Premier League
Neil Warnock is currently in charge as caretaker coach of the R's, succeeding the sacked Chris Ramsey.
How would Fulham fans react to the news, however?
Jol ultimately failed miserably at Craven Cottage, with his initial impact being undone by his tendency to sign slow, older players and offload those supporters considered actually capable of making an impact in west London.
Appointing the Dutchman would no doubt be seen as another uninspiring choice from the QPR hierarchy and the fact no one has given him a chance since his Fulham spell suggests they would be better off steering clear.
But you never know with QPR; what if Jol ends up in a dugout against Fulham later this season?