Accurately measuring bio-impedance is important for sensing properties of the body. Unfortunately, contact impedances can significantly degrade the accuracy of bio-impedance measurements. To address this issue, circuitry for implementing a four-wire impedance measurement can be configured to make multiple current measurements. The multiple current measurements set up a system of equations to allow the unknown bio-impedance and contact impedances to be derived. The result is an accurate bio-impedance measurement that is not negatively impacted by large contact impedances. Moreover, bad contacts with undesirably large impedances can be identified.