This article aims to investigate the spatial effect of the quality of human capital and to identify if there is educational spillover from higher education in the proficiencies of elementary students. Although the role of geographical aspects has been studied in several academic areas, in the literature on the economics of education such studies are incipient and the few existing contributions use the stock of education as the object of analysis. The present study differs by using proficiency as a proxy for quality and also by examining the spillover effect of the presence and quality of university courses in the area of education. The results indicate a strong spatial dependence, suggesting the spatial dimension influences school performance. On the other hand, higher education institutions influence school performance in the municipality of origin, but not that of neighboring municipalities.