A process for producing a film of a hydrophilic polymer on the inner surfaces of a fluidic component is provided comprising subjecting the inner surfaces of the fluidic component to a physicochemical pre-treatment, contacting the inner surfaces of the fluidic component with a solution of the hydrophilic polymer, replacing the solution of the hydrophilic polymer with a gaseous medium in such a manner that firstly the inner surfaces of the fluidic component remain wetted with part of the polymer solution, and removing the solvent to produce a film of the hydrophilic polymer on the inner surfaces of the fluidic component. The hydrophilic polymer used has a surface wettability for aqueous solutions which is higher than the surface wettability of the inner surfaces of the fluidic component itself.