We report about the polarization properties of light transmitted by hollow pyramidal SNOM tips. The use of a thin polymeric dichroic film allowed us to clearly distinguish between the behavior in the near-field and in the far-field regime and to emphasize strong differences between them: while in the far-field region a pinning of the polarization can take place, in the near-field region the in-plane polarization always follows linearly that of the light incident on the tip, for all the measured tips. These original findings stress the very peculiar nature of the evanescent field in the near-field regime, and have important consequences for all the applications of polarized light in near-field microscopy.