Undergraduate students seeking a degree in Management Studies at non-linguistic universities reveal insufficient level of the development of oral and written communication skills in professional and business communication in English. This underpins the need for more intensive training in productive types of speech by referring to a special textbook (a special course) that takes into account the specifics of professionally oriented training for students. Computers and Banking is one of the possible foundations for building professionally oriented teaching of a foreign language in a non-linguistic university. In this regard, it seems necessary to determine the role and place of our “Computers and Banking” discipline both in the system of professionally oriented teaching of foreign languages in a non-linguistic university in general, and in a number of similar special courses in particular. In this article, a concept of a “speech skill” and the pedagogical preconditions for the development of productive speech skills within the framework of a special course “Computers and Banking” are analyzed, the mechanisms for producing oral and written statements in a foreign language for pedagogical purposes are studied. Based on the analysis of domestic and foreign literature on foreign language teaching methodology and psycholinguistics, textbooks and manuals on economics (banking) and the basics of computer science, special manuals for teaching professional-business communication in English, we established that the discipline “Computers and Banking” possesses a methodological potential for developing productive speech skills, and determined the structure of professional and business foreign language communication of undergraduate students in various fields of their activity.