This paper reports on a study that was conducted in Higher Education Institution (HEI) of Gauteng Province, South Africa. It forms part of a larger research project, which is "The dynamics of higher education space and place in Sub-Saharan Africa". The participants were randomly selected, and they were readily available. The aim of the study was to explore the perceptions and experiences of 17 academics, 4 administrative staff, and 1 chair of department, and 1 school director. This was a qualitative study that used interviews. In this paper the perceptions discussed are those of the academics and administrative staff only. The shortage of space in South African higher education institutions is a cause for concern; daily reports appear in the written and electronic media about the shortage of lived and conceived spaces. The findings suggest that space as a constraint in utilisation of higher education spaces is of serious concern in enhancing giftedness of academics and administrative staff in higher education spaces. And this is one of the internal factors that exacerbate poor performance of academics and administrative staff at the university. The study recommends that there is need to utilise space and policies effectively. A well-ordered HEI is also a less constraining environment. HEIs that experience problems of shortage of lived and conceived spaces need active academics, administrative staff, chairs of department, directors and policies that monitors space; recommends, redress enabling measures; and oversees policy implementation.