The invention relates to a coating for medical devices. The coating comprises a specific copolymer of which the composition may be adjusted such as to achieve an excellent adhesion to a wide range of surfaces. The coating may further comprise an additive, such as a biologically active agent, which may be released in vivo in a controlled manner, as the degradability of the coating may also be adjusted to a predetermined rate. The invention further relates to a process for applying the coating to a surface and to a medical device comprising the coating.