A new method to overcome the Pplarization- induced fading (PIF) in theconventional low-bireftingence optical fiber constructed interferometric sensor is proposed.By adding high-frequency modulation to the state of Polarization in the output arm of aninterferometer, the maximum PIF variation in the sensing signal is 4. 7 dB or 6. 3 dB(depending on the choice of maculation model). By either adding an electronicallyautomatic gain control circuit or dividing the signal by the interferometer's visibility, the signal fading is recovered at the expense of a relevant degradation of the signal/noise ratio (SNR).