The present invention is directed to a process for making a fibrous web. The fibrous web comprises fibers and a functional material. The fibers are bonded by a binder and the functional material is immobilized by the binder. The process of the present invention comprises the steps of: forming a fiber aggregation comprising fibers, preparing a solution comprising the binder and the functional material uniformly dispersed together with the binder in the solution, immersing the fiber aggregation into the solution to disperse the functional material into the fiber aggregation, and drying the fiber aggregation to form the fibrous web.