Teachers of public universities are one of the categories of public administration employees, a specific category, when in general, and according to the legal imperative, schools can only conclude fixed-term employment relationships with them. As part of the process of filling the posts of university teachers, it is common and customary practice to carry out a selection procedure for a job up to the edge of the period when the teacher, who is still working in the given position, has a fixed-term employment relationship. The paper points out the negative consequences and impacts of this practice on the teacher, who puts a lot of effort into his pedagogical and scientific work, self-education and qualification procedure, while his employment contract ends, he is not at all sure of continuing his employment. At universities, where jobs are often filled on the last days of the employment of teachers still working for them, there is also a risk of violation of the provisions of the Labor Code on the creation of a new employment, as well as unnecessary administrative burden of the employer and employee. A critical analysis of the selection process results in a legislative proposal. URL: https://vsas.fvs.upjs.sk/