An innovative wearable eye tracker based on a permanent-magnet marked corneal lens is analyzed in terms of the information that can be retrieved from the tracking parameters. We demonstrate that, despite missing information due to the axial symmetry of the measured field, physiological constraints or measurement conditions make possible to infer complete eye-pose data. The results show that the instrumentation considered is suitable as a new low-invasive medical diagnostics for the characterization of ocular movement and associated disorders.