The research reviews the problem of enhancing oral fluency during a course of General English for technical learners. The range of issues discussed includes the concept of fluency, criteria for its assessment, and the factors hindering it. The methodology suggested is designed in the framework of the cognitive-communicative approach and incorporates regular free-talking sessions, talks focused on language problems and discussions centered on pop-music. The methodology stimulates the learners’ motivation for developing prosodic and grammatical skills, contributes to the growth of pragmatic competence and linguistic competence, which are indispensable conditions of oral fluency as a characteristic feature of L2 proficiency.