Understanding whether members of the university population are willing to receive a future vaccination against COVID-19 and identifying barriers may help public health authorities to develop effective strategies and interventions to contain COVID-19. This cross-sectional study explored the willingness to accept a future SARS-CoV-2 vaccine in a university population in Southern Italy. The perceived risk level of developing COVID-19 was 6.5 and it was significantly higher among females, younger subjects, and those who agreed/strongly agreed that COVID-19 is a severe disease. Only 21.4% of respondents were not worried at all regarding the safety of the vaccine. Males, not being married/cohabitant, being a faculty member, those who perceived a lower risk of developing COVID-19, and those who did not need information regarding the vaccination against COVID-19 were significantly more likely to have no concern at all regarding the safety of the vaccine. The vast majority (84.1%) were willing to receive a future vaccine against COVID-19. Almost coherently with predictors of concern on the safety of the vaccine, being male, not being married/cohabitant, being a faculty member, not being concerned at all that COVID-19 vaccination might not be safe, and agreeing that COVID-19 can have serious health consequences were significant predictors of the willingness to receive the vaccine against COVID-19. A considerable proportion of the population had a positive willingness to receive the future COVID-19 vaccine, although some concerns have been expressed regarding the effectiveness and safety and public health activities seem necessary to achieve the rate that can lead to the protection of the community.