The microtexture of lamellar structures in a commercial purity Al deformed to high strains (epsilon(vM)=3.2-6.4) by accumulative roll-bonding was analyzed based on the local orientation measurements along the ND direction. Volumes between lamellar boundaries of random orientations was observed instead of volumes of rolling orientations observed in conventionally cold rolled aluminum. As a consequence, a distribution rather close to the Mackenzie distribution was obtained for the misorientation angles across the lamellar boundaries. The randomization of the crystallographic orientations in ARB was related to the introduction of a large redundant shear through the sample thickness, which may change the slip pattern from that which characterizes conventional rolling.