Imparting content through the medium of a second/foreign language is a form of education that has grown exponentially in tertiary education all over the world. Clearly, educational institutions with EMI are more favoured by students, hence English competes with Polish as the medium of instruction. This paper reports on the results of a survey of 59 lecturers from a university located in the capital of Poland where English is used as a means of instruction in selected programmes. Data were collected on the basis of an online questionnaire and subsequent interviews with lecturers. Based on the findings, a tentative conclusion can be drawn that the EMI programme is far from a completely developed practice aimed at promoting the institutions’ strategic internationalisation.