The report cites sources in Holland, which suggest that the 27-year-old will join from FC Groningen for a fee of around £2.25m if he passes a medical on Monday.
Chery is still training with the Eredivisie side but away from the first team as the move edges closer and he cannot run the risk of injury in full training, ahead of a move to London.
Previous reports, such as those on West London Sport, suggested that the Rs were waiting on Raheem Sterling's future to be resolved - Rangers were due to receive 20% of any transfer fee - before swooping for the Dutchman.
Chery had been on QPR’s list of targets after the end of last season and a move to sign him has been sanctioned following confirmation of the Liverpool youngster's switch to Manchester City.
What do the stats say?
Chery has experienced three impressive seasons in Holland, netting 25 league goals in the two most recent campaigns with Groningen and eight before that in the 2012-13 season with Den Haag.
The 27-year-old was the Groningen's stand-out performer last season, weighing in with 15 goals and a further 10 assists. He was one of just five players to directly contribute in more than 20 Eredivisie strikes last term; an achievement that no doubt led to his first Netherlands cap.
While his contribution in the final third was outstanding, his overall game is also rather impressive. Indeed, the Dutchman completed 82% of his total attempted passes last term - a trait that could see him flourish as the focal point of the Rs midfield.