This article provides a new direction in digital media and communication studies and develops an emergent analytical lens of digital media and immobility in the context of forced migration. Drawing on a qualitative multi-sited research approach, I shed light on digitally mediated transnational care among the Rohingya diaspora in refugee camps in Bangladesh and in Brisbane, Australia. I draw on Massey’s idea of the ‘power geometry’ with a combination ‘immobility turn’ to consider how the socio-spatial mobility is restricted and regulated, and how these immobilities are crucial to understanding family care practices. I argue that the idea of transnational families existing beyond nation-states, and the social and spatial immobilities may help us to identify the linkages, discrepancies and power asymmetries that exist in cross-cultural settings. The findings offer a critical stance on immobility, which impacts and shapes transnational caregiving practices of forced migrants in the age of digital media.