  We study the gauge-covariance of the massless fermion propagator in
three-dimensional quenched Quantum Electrodynamics in the framework of
dimensional regularization in d=3-2\ep. Assuming the finiteness of the quenched
perturbative expansion, that is the existence of the limit \ep \to 0, we state
that, exactly in d=3, all odd perturbative coefficients, starting with the
third order one, should be zero in any gauge.
