The paper is devoted to the problem of creating a unified model of digital competencies of higher education teachers. Focusing on universal digital competencies leaves aside the training of specialists for specific enterprises with their own digital resources. The models presented in the scientific literature define as constituent elements the educational ones directly related to the activities of an educational institution. The paper discusses the aspects of improving the presented models related to the needs of the labor market and specific industry in specialists. The authors of the paper have conducted a study aimed at expanding the understanding of the model of teachers’ digital competence development at an engineering university based on the opinions of experts from education, digital technologies and employers. The results of the study confirmed the hypothesis: the focus on the universalization of digital competencies and weak attention to the need of enterprises in specific digital skills in employees, leads to the lack of specific digital competencies in future specialists due to the specifics of digitalization of the enterprise. The inclusion of specific digital technologies in the practical training, as well as the accompaniment of teachers by tutors from the enterprise will further create the basis for improving the quality of training for specific enterprises or industry needs.