A wheelchair propulsion and contamination reduction arrangement permits the user to drive the chair on the main ground-engaging rear wheels with a compressible wheel cover that is grasped and squeezed against the wheel to provide propulsion and mounted with elastic tension devices on opposite ends that return the drive grip to a neutral position when the user relaxes the compression. The compressible device is a polymeric foam which can also be adapted to carry one or more of a lubricant, cleaner and biostatic treatment.