Cloud computing popularity has continued to be on the increase side, and it has been significant contributory factor to the of 24/7 365 days business culture of the digital 21st century where data and data centers are accessed via the internet through any connected device, anytime and from anywhere. Higher Education Institutions (HEI) or Tertiary Education Institution (TEI) are also among organisations, medium and large, that are tapping into this trend by gradually adopting this technology to reduce their high budgets in the prevailing face of financial shortage. This has particularly made the technology attractive to TEI in developing countries, and more of them are adopting the services being offered by cloud computing. The adoption of this technology however, affects the way and manner by which IT services are being delivered traditionally by the TEI IT or ICT departments. The objective of this study therefore, is to explore the adoption of this phenomenal technology and its impact on the role of traditional IT department in one of the tertiary education institution in the South Western part of Nigeria. The TOE framework adoption model was used to explore the adoption factors, and interviews conducted within the ICT department of the institution as part of the empirical findings process. In contrary to popular belief, no member of the IT staff has lost his or her job yet based on the adoption despite the impact on the skills and culture in service delivery of the department. IT staffs were encouraged to adapt to the change as quickly as possible with trainings given, and the ICT, thus the HEI have value added as most of the services are now available on a 24-hour basis to users, even while off campus and far remote, a dream very difficult and near impossible in the days of full traditional IT services delivery.