Big Data technology is very efficient in some cases, however, it has some disadvantages. It should be applied to modern universities which current quality of education is high enough. Thus the universities have to satisfy several conditions, for example, providing broad sets of different type tasks, including group discussions, oral speeches, essays with more than one possible correct opinion, developing complex skills of their students; collecting information about courses, student's activities and progress, alumni skills. Undoubtedly, Big Data are not the only opportunity to develop quality of education. Many small universities provide private educational programs for small groups. Moreover, they offer their students more direct conversations with lecturers in words of mouth format. This educational strategy definitely has its own advantages. Usage of Big Data in Russia is possible, however, it claims increasing of higher education quality.