Responsible Research and Innovation (RRI) is an approach to research governance that promotes the sustainability, acceptability and desirability of research and innovation processes and outputs. Given the importance of private sector companies in funding and executing research and in particular innovation, it is important to understand how their practices map onto RRI. This paper describes the role of RRI in industry and then focuses on the way in which privacy can be considered. It draws on a workshop undertaken in the context of the IFIP Summer School on Privacy and Identity Management to develop some suggestions on future integration of privacy in RRI for industry.