A fibrous sheet material includes at least two plies that are bonded together. The fibrous sheet material contains a superabsorbent material in the form of a web of filaments having a diameter in the range between 1 and 40 &mum. The web of superabsorbent filaments has a basis weight between 1 and 15 g/m2 and is located between the plies. A method for applying a superabsorbent polymer to a fibrous sheet material produces a superabsorbent double- or multi-ply fibrous sheet material.