In order to obtain a fair "OER picture" for the Global South a large-scale study has been carried out for a series of countries, including Kenya. In this paper we report on the Kenya study, run at four universities that have been selected with randomly sampled students and lecturers. Empirical data have been generated by the use of a student and a lecturer questionnaire to which in total 798 students and 43 lecturers have responded. Selected from the very rich source two major outcomes are: (i) there is a significant digital differentiation among lecturers and students at urban versus rural universities in terms of their proficiency and internet accessibility; and (ii) the awareness and appreciation of the OER concept and open licensing is low but from the actual processing by respondents of educational resources (not necessarily open) a 'preparedness for openness' can be derived that promises well for the future. [This paper was presented at the 2017 Open Education Consortium Global Conference, held in Cape Town (South Africa) in March 8th-10th 2017.]