Universities are investing heavily in electronic resources. As a way of embracing new developments, the University of Ilorin, Nigeria, has spent millions of dollars building a usable e-library. However, research indicates that potential users may still not use e-libraries. This study examines user acceptance of e-library from the perspective of technology acceptance mode (TAM). E-library system characteristics, organisational context, and individual characteristics are identified as variables that determine acceptance. Data was collected through self-designed questionnaire from 1,500 undergraduate users of the e-library. The findings revealed that the acceptance constructs, ease of use, perceived usefulness, actual use, satisfaction, relevance, awareness, computer/internet self-efficacy, and social influence, significantly correlate with e-library acceptance. The study suggests that all eight factors jointly pulled 69% prediction of the users’ acceptance of e-library. The study recommends that e-library users at the university increase their computer and internet self-efficacy, which significantly enhances their use of the e-library system. The university can assist in this matter by organising computer training for the students.