The moral turn within sociology suggests that we need to be attentive to values and have a rapprochement with philosophy. The study of illness narratives is one area of sociology that has consistently addressed itself to moral domains but has tended to focus on stories of living with genetic or chronic illness per se rather than liminal states such as genetic traits. This article takes the case of genetic carriers within racialized minority groups, namely, those with sickle cell or thalassaemia trait, and takes seriously the notion that their narratives are ethical practices. In line with the work of Paul Ricoeur, such storied practices are found to link embodiment, social relationships with significant others and wider socio-cultural and socio-political relations. At the same time, such practices are about embodying values. These narratives may be considered as practices that re-fuse what genetic counselling has de-fused, in order to make sense of a life in its entirety and to strive ethically and collectively towards preferred social realities.