It has been suggested that observations of quasi periodic oscillations (QPOs) in the X-ray fluxes from low mass X-ray binaries can be used to constrain the mass of the compact object and the equation of state of its matter. A specific suggestion that the kHz QPO frequency saturates at the maximum orbital frequency has been widely considered. We examine rotating compact stars described by a new model of strange quark matter (Dey et al. 1998). We calculate the maximum orbital frequencies for both normal and supramassive strange stars described by the Dey et al. model, and present these frequencies for sequences of equilibrium models with constant baryon mass. The maximum orbital frequencies for these compact objects are always higher than the kHz QPO frequencies observed to date.