The 24-year-old midfielder impressed after moving to Carrow Road from FC Twente last summer, although was unable to help the club avoid relegation.
Fer went on to feature for the Netherlands at the World Cup and came off the bench in Norwich's 3-0 defeat of Watford on Saturday.
Canaries boss Neil Adams downplayed an impending move ahead of Tuesday's Championship fixture against Blackburn, but Press Association Sport understands that the midfielder's exit in imminent.
Fer is believed to be undergoing a medical at QPR on Tuesday morning after the club's agreed a fee in the region of £7million.
The Dutchman is set to sign a three-year deal at Loftus Road, where he could soon be joined by Chile international Eduardo Vargas.
The Napoli striker is attracting interest from across Europe and, having signed compatriot Mauricio Isla, the Hoops are hoping to get a deal over the line potentially the next 48 hours.
Source : PA
Source: PA