The present invention relates to an isocyanate functional prepolymer that can be achieved througha) a reaction of an H functional starter compound having at least one Zerewitinoff active H atom with an alkylene oxide and a comonomer to a preliminary stage bearing hydroxyl groups, wherein said comonomer is selected from the group comprising lactides, glycolides, cyclical dicarboxylic acid anhydrides as well as combinations thereof and wherein said comonomer is integrated through statistical copolymerization into the polymer chain(s) of the preliminary stage bearing hydroxyl groups, andb) a reaction of the preliminary stage bearing hydroxyl groups from step a) with a polyfunctional isocyanate to an isocyanate functional prepolymer.The invention additionally relates to a process for producing this isocyanate functional prepolymer, a tissue adhesive system containing such an isocyanate functional prepolymer and a dispensing system having at least two chambers and this type of tissue adhesive system.