The invention relates to a method for coating glass surfaces, particularly surfaces of glass containers, for biomolecules and biological materials, the method being characterized in that the glass surface is activated and a silyl-modified polyglycerol is applied to said activated glass surface, the silyl-modified polyglycerol being structured in such a manner that the silyl linker is coupled to the polyglycerol via a urea bond, and a covalently bonded layer is formed on the glass surface via the silyl linker. The silyl linker is selected from trialkoxysilyl, dialkoxyalkylsilyl or monoalkoxydialkylsilyl. The glass surface coated in this manner is stable under thermal sterilization conditions.