A magnetoresistive sensing system includes a current-perpendicular-to-the-plane magnetoresistive (CPP-MR) read head and adjustable biasing circuitry connected to the read head for adjusting the relative magnetizations of one or more of the ferromagnetic layers in the read head. The biasing circuitry generates a bias current in the read head that generates a bias-adjusting magnetic field that acts on one or more of the ferromagnetic layers. For a conventional read head, the bias-adjusting field acts orthogonal to the field from the reference layer to change the angle between the magnetization of the free layer and the magnetization of the reference layer. For a scissoring-type read head, the bias-adjusting field acts parallel to the transverse bias field to change the angle between the magnetizations of the two free layers. This results in an improvement in the sensitivity of the read head to bring the soft error rate (SER) below an acceptable level.