This study presents the results of an investigation focused on the university position towards innovation. 219 students, future teachers for preschool and primary education, have been involved in the survey and voluntarily filled in an online questionnaire. The results indicate that most students agree that the development of innovation skills has to be an aim of the current educational system and that it's an important objective of their university. Still, a high percent of students disagrees with the fact that they have enough time to be innovative and that university is a proper environment to be innovative. However, most participants agreed that teachers can stimulate the students' interest for innovation and they also have an active role in cultivating their capacity for innovation. Participants believe that all students should benefit from programs focused on the development of their innovation skills, not only those students with an innovative potential. The answers of participants suggest that university is theoretically opened toward innovation and the development of students' innovative skills. However, in practice there are some malfunctions, as the results of the study indicate.