We examine here the case that in deformed austenitic stainless steels, the transformation texture should be calculated in two stages (M. Humbert et al. Mater. Sci. Eng. A 454–455 (2007) 508–517). The first stage involves the transformation of austenite into ϵ-martensite, which then changes into body-centred cubic (bcc) martensite. The procedure requires two fitting parameters, connected to the extent of variant selection. Our analysis shows that it may not be necessary to follow this procedure as the texture can be adequately calculated by considering direct transformation into bcc martensite. Some comments are also made about the calculation of the interaction energy between the applied stress and martensite.