Value-sensitive design theorists propose that a range of values that should inform how future social robots are engineered. This article explores a new value: digital well-being, and proposes that the next generation of social robots should be designed to facilitate this value in those who use or come into contact with these machines. To do this, I explore how the morphology of social robots is closely connected to digital well-being. I argue that a key decision is whether social robots are (...) designed as embodied or disembodied. After exploring the merits of both approaches, I conclude that, on balance, there are persuasive reasons why disembodied social robots may well fare better with respect to the value of digital well-being. (shrink)