Language plays a central role in everyday communication activities. Therefore, an individual need to be able to use language to communicate with confidence and without fear. One of the major fears that people have is the fear of communication. This fear is most of the time due to a lack of confidence in communicating in a particular language or due to poor proficiency in the language. In some cases it can also be due to attitudinal problems. In the context of teaching and learning English as a second or foreign language, students can have a great fear of using English with confidence. This fear can be an acute one and thus students may avoid using English to communicate. However, non native speakers of English need to be highly competent in the use of the English language for a variety of communicative purposes particularly in meeting the challenges of globalisation and that of the digital age. This article presents some insights on language apprehension found among communication undergraduates who are non native speakers of English.