Crystal Palace had a bid worth around £12m rejected last month as QPR value the 22-year old, Eberechi Eze at £20million.
West Ham, who have discussed the possibility of using striker Jordan Hugill as a makeweight in any deal, Newcastle United and Leeds United have also expressed interest.
Palace have been discussing a number of wingers as they consider all options for the sensational winger.
Eze, who started his career with QPR, enjoyed a superb season in 2019-20, scoring 14 goals in the Championship.
Manager Mark Warburton will be desperate to hang on to Eze, who finished just one goal behind team-mates Hugill and Nahki Wells in the scorers’ list.