The coronavirus disease 2019 (COVID-19) forced organisations to implement intensive telework for many of their workers overnight. This scenario was completely new, and the emergency caused by COVID-19 created the possibility of experimenting with new ways of working with an unknown impact on employee well-being. Drawing on previous literature, we defined a model of telework quality consisting of the following four core domains: agile offices within organisations, functional remote workstations, flex-time and engaging management. We identified two high-quality and low-quality telework profiles using latent profile analysis on a data sample of 2295 insurance and financial sector employees. Demographic, occupational and procedural characteristics were associated with the probability of being in the positive or negative profiles. Our results showed that employees' emotional exhaustion and work engagement levels were related to telework quality. This study suggests that organisations need to consider the quality of telework to effectively adopt new ways of working that foster employee well-being.