The impact of transnational private regulation on labour standards remains in dispute. While studies have provided some limited evidence of positive effects on 'outcome standards' such as wages or occupational health and safety, the literature gives little reason to believe that there has been any significant effect on 'process rights' relating primarily to collective workers' voice and social dialogue. This paper probes this assumption by bringing local contexts and worker agency more fully into the picture. It outlines an analytical framework that emphasizes workers' potential to act collectively for change in the regulatory space surrounding the employment relationship. It argues that while transnational private regulation on labour standards may marginally improve workers access to regulatory spaces and their capacity to require the inclusion of enterprises in them, it does little to increase union leverage. The findings are based on empirical research work conducted in Sub-Saharan Africa.