Open-mindedness (OM) is one of the select groups of 21st-century soft skills that are lacking in the university curricula. Our aim was to analyse the OM level of our university students and study the influence of gender and age on OM. To do so, we used an ex post facto experimental design, a snowball sampling technique, an OM questionnaire administered to 493 students and statistical techniques of data mining and multiple linear regression. The results show medium–low levels of OM and higher scores in those below 49 years of age and female gender. The variable that most influenced the variability of OM was age (82%), compared to gender (18%). The practical implications of these results aim to promote a more inclusive, active and higher-quality university education that integrates OM, together with other competencies, to make our students more competitive academically and favour their entry into the labour market.