Simpson will not be considered for selection by Leicester after being found guilty of assaulting his ex-girlfriend.
The club are examining the case, and the right-back will be sentenced next month.
Nugent is out with a calf problem and missed last week’s 0-0 draw at Sunderland when the Foxes completed their Houdini act and sealed Premier League survival. Matty James is out with cruciate knee ligament damage and may not return until Christmas.
QPR, meanwhile, will be without goalkeeper Rob Green and defender Steven Caulker.
Green (concussion) and Caulker (hand) were forced off during last week’s defeat of Newcastle.
Chris Ramsey, given a permanent contract as head coach this week, may make further changes to look to the future.