A survey we conducted a few years ago concluded that higher education teachers should have the following competences: interpersonal, methodological, communicative, planning and management, teamwork and innovation. The authors of this work belong to the Institute in charge of the lecturer-training program at our university, which is basically a technical one. In order to improve our training program, we pose the following research questions: What are the competences that lecturers perceive as less important. Do our university teachers (engineering teachers) have a different perception of the importance of the different lecturer competences compared to that of other teachers? The results we present in this paper come from a survey that was sent to a total of 15,209 teachers belonging to public universities in our community, and we received a total of 2,347 valid answers. As a result of this study, we found which competences are those with a significantly bad rating by lecturers in general, and our lecturers in particular. We analyze what measures should be introduce into our teacher training program.