The article considers conditions and ways of development of teamwork skills in the context of foreign language teaching at university. Aspects of competency-based approach functioning as the methodological basis of the modern system of higher education are analysed. Special attention is paid to the issues of the development of teamwork skills, which the author defines as the most neededsoft skills.The article points out that high level of these competencies is necessary for the university graduate to achieve success in their professional field.