A two-dimensional magnetic recording (TDMR) multi-sensor read head has three stacked sensors separated by magnetic shields. The lower sensor is the primary sensor that is always aligned with the target track. The middle sensor is spaced laterally from the lower sensor a distance substantially equal to the track pitch (TP). The upper sensor is aligned with the lower sensor. The spacing D between the lower and upper sensors is selected to be related to TP and a maximum skew angle, where the skew angle is the angle between a line orthogonal to the sensor and the data track that varies with radial position of the head. The read head is connected to circuitry that selects two of the three sensors to be the active sensors depending on the radial position of the head and thus the skew angle of the head.