There is an increasing acknowledgment of the added value obtained by integrating technological efforts to engage employees round the clock for organizational productivity. Hyperconnectivity is the demand of time for competitive advantage in businesses, but studies on its impact on the health and well-being of the employees have been neglected in academic research. Hence, in this study, we investigated the effect of hyperconnectivity on health and well-being, and in moderating the effect of work-to-family conflict and job demand control imbalance on the health and well-being of the office employees. An online questionnaire survey was used to collect data from 410 office employees working in the oil and gas industry in Malaysia. Respondents were approached through the LinkedIn forum. Statistical tests, principal component analysis, structural equation modeling, and path analysis were conducted. It is found that hyperconnectivity has a negatively insignificant effect on health and well-being. In addition, hyperconnectivity significantly strengthens the negative effect of job demand control imbalance (22%) and work-to-family conflict (24%) on health and well-being. It is concluded that hyperconnectivity decreases health and expedites other psychosocial hazards related to the health and well-being of the employees. Urgent measures should be taken to reduce unnecessary and frequent online notifications, messages, emails, and phone calls, both during and off-working hours. In this way, the effect of job demand control imbalance and work-to-family conflict can be reduced on the health and well-being of the office employees. Considering the negative consequences of hyperconnectivity, this problem should be addressed in health and safety policies in organizations. Future studies can investigate the effect of hyperconnectivity on job demands and control separately.