A disk drive is disclosed comprising a head actuated over a disk having a plurality of servo tracks, wherein each servo track comprises a plurality of servo sectors and each servo sector comprises a track address. A read signal from the head representing a first track address in one of the servo sectors is processed in order to generate a detected track address which is compared to a first target track address to obtain a first track address error. A correction metric is generated representing a likelihood that the first track address error was caused by a detection error, and if the correction metric exceeds a threshold, the detected track address is corrected in response to the first track address error, and the write operation is continued. If the correction metric does not exceed the threshold, the write operation is aborted.