At the end of the 20th century, telework appears as one of the modalities of flexible work, which is related to new organizational structures as well as to increasing use of technology. It revolutionizes the traditional ways of performing work. Its implementation creates a number of questions to be answered by the organizations and the individuals involved. This article presents a case study on the viability of implementing telework at Procempa (The Data Processing Company of the City of Porto Alegre). The case study analyzes the technical, organizational, psychological, legal, and labor union dimensions. As a result of this study, we can identify the organization's stage of readiness for telework, the conditions under which it would be implemented, and the specific issues of an implementation.