We calculate the diffuse high energy neutrino flux produced by the interactions of cosmic rays with the gas contained in our Galaxy. In order to quantify the role of uncertainties in the cosmic ray propagation models, we consider three different assumptions for the cosmic ray distribution in the Galaxy. We provide expectations for the spectrum and the angular dependence of the diffuse galactic neutrino flux. We compare our predictions with the isotropic flux required to explain the 54 HESE events observed by IceCube in four years data taking.