The room-temperature alpha textures of Ti-64 sheets, inherited from the beta-alpha phase transformation of high-temperature beta textures of the material in the beta and alpha + beta fields, respectively, have been studied. The corresponding high-temperature beta textures were also determined by a method developed in our laboratory. The knowledge of the high-temperature beta textures allowed us to discuss the variant selections through transformation modeling. As a result, a variant selection occurs in the presence of the stable alpha grains of the alpha + beta field.