The response of interferometric fiber optic gyroscope sensing coils to a time-varying, radial thermally induced nonreciprocity is investigated. Sensing coils wind with polarization-maintaining fibers in quadrupolar wind configurations developed in our study examining the effect of radial thermal gradients are used with experimental setup. Induced gyroscope bias drift, measured as a function of temperature and time, is compensated for quadrupolar winding configurations using our model. Our results show that thermally induced nonreciprocity can be calculated with the same coefficient in difference temperature changing conditions using our model.