Monte Carlo simulations of positron transport in nitrogen have been performed based on a complete set of cross sections that has been updated as a result of both experimental and theoretical advances. As the positronium formation cross section becomes dominant at larger mean energies in nitrogen than in argon and hydrogen the effect is much smaller in the case of nitrogen. Nevertheless, the differences between bulk and flux transport coefficients, even in nitrogen, exceed those for electrons, providing another example of the very special case of transport of charged particles under the influence of strong non-conservative collisions.