The University has unique duty of initiating, innovating, training and supporting scientific research, to shape the society. This is reinforced by the electronic libraries in academic institutions, which fosters students' literacy, ease of study and research. This work studies students' patronage of the e-library (E-Learning Centre) in John Harris Library, University of Benin as a function of time and make predictions and recommendations for future occurrences using time series models. Some models of Time Series were applied and analysed using Zaitun Time Series Software to a 4 year data (2009-2012) retrieved from the E-learning Centre, John Harris Library, University of Benin and forecasts were made based on these analyses. The results from one of the models; Holt-Winters Exponential Smoothing (Multiplicative), was found to have best described our data having the lowest