In the absence of drifts, the Bohm-Chodura Criterion gives that the fluid velocity parallel to the magnetic field reaches the ion acoustic speed at the entrance to the magnetic pre-sheath. The changes to this Criterion dervied for the situation where peloidal E×B drifts are present. (It was shown earlier that diamagnetic drifts do not influence this Criterion). E×B drifts can cause the parallel fluid velocity at the magnetic pre-sheath entrance to become supersonic, subsonic or reversed (negative).