A study of optical vortices solitons propagation under the influence of an inhomogeneous external magnetic field is presented. The external magnetic field is applied on the z-axis, which is also the direction of propagation, so that a Faraday configuration is created. This study of magnetooptic vortices in a bulk, nonlinear, gyrotropic media leads to an investigation of the coupling of the electric field components, Ex and Ey, in the (x,y) plane. An optical beam propagating in the bulk is modelled by coupled equations in which the nonlinear refractive index is Kerr-like bulk optical nonlinearity. A transformation to rotating coordinates enables circularly polarised waves to be selected and a peak in the magnetisation over the centre of the beam is used. An important spatial dependence of the magnetisation parameter, defined as Q(x), stimulates novel singular behaviour. To demonstrate this kind of gyrotropy experimentally the usual Kerr nonlinearity may be too weak for comfortable observations but semi-magnetic semiconductors and atomic gases are shown to be possible candidates for which Faraday rotations are impressive.