A disk drive is disclosed comprising a head actuated over a disk comprising a plurality of spiral tracks including a first spiral track. A DC spiral track error common to the spiral tracks is measured relative to an ideal slope for the spiral tracks, and an AC spiral track error is measured for each spiral track relative to the ideal slope. As the head approaches the first spiral track, a spiral crossing window is opened based on the measured DC spiral track error and the measured AC spiral track error for the first spiral track, and the first spiral track is detected after opening the spiral crossing window.