Hypertension is a leading risk factor in the global disease burden. Limited hypertension awareness is a major determinant of widespread gaps in hypertension treatment and control, especially in developing countries. We analyzed data on persons aged 50 years or older from 6 low- and middle-income countries participating in the first wave (2007–2010) of the World Health Organization’s Survey of Global Ageing and Adult Health (SAGE). Our estimates suggest that just 1 year of routine opportunistic hypertension screening during formal visits to medical-care providers could yield significant increases in hypertension awareness among seniors in the developing world. We also show that eliminating missed opportunities for hypertension screening in medical settings would not necessarily exacerbate existing socioeconomic differences in hypertension awareness, despite requiring at least occasional contact with a formal health-care provider for obtaining a hypertension diagnosis. Thus, routine opportunistic screening for hypertension in formal medical settings may provide a simple but reliable way to increase hypertension awareness. Moreover, the proposed approach has the added advantage of leveraging existing resources and infrastructures, as well as facilitating a direct transition from the point of diagnosis to subsequent expert counseling and clinical care for newly identified hypertension patients.