The purpose of this study was to investigate the determinants for lack of space within Nigerian Universities to admit all qualified secondary school graduates into higher Education. Primary data were collected using a semi-structured, open-ended interview with 24 participants representing several programs and stakeholders in Nigeria higher education. The findings indicated that inadequate facilities, inadequate equipment, lack of technical teachers and lack of funds from the government are some of the determinants for the current admission crisis. Policy implications of the findings are discussed.