Several studies have documented the benefits of emotional intelligence particularly in the workplace. The main objective of universities is to educate in terms of acquiring capacities, abilities, competencies, and values, with the ultimate aim of promoting employment. In some Spanish universities, High Academic Performance Groups (HAPs) have been launched to strengthen the potential of the most outstanding students. This study is aimed to know the differences in the emotional intelligence profile of the HAP students. The study shows no significant differences, being recommendable to consider providing aid and support for HAP students in the development of this type of intelligence.