The invention provides a method for manufacturing a skin-friendly pressure-sensitive adhesive composition, said method comprising the steps of: a. providing a matrix composition comprising a polymeric photoinitiator of the general formula (I): R1(A1)r-(R2(A2)m-0)o-(R3(A3)n-O)p-R4(A4)s (I) and b. curing the matrix composition in step a. by exposing it to UV radiation. The matrix composition may additionally comprise one or more adhesive-forming polymers and/or adhesive-forming monomers, or may simply consist of the polymeric photoinitiator of the general formula I, as defined herein. The invention also relates to the skin-friendly pressure- sensitive adhesive composition obtained by the method of the invention, as well as a medical device comprising said adhesive composition.