Abstract In this paper the almost disturbance decoupling problem (ADDP) for a multivariable linear system is studied by means of a proportional derivative (PD) state feedback law, u = Fx + R dot x . A condition for solvability of the ADDP by state feedback has been given by Willems ( IEEE Trans. Aut. Control, AC-26, 235, 1981) who also indicated that the solution of the ADDP requires high gain state feedback ( F → ∞). It is shown here that under the condition given by Willems, the ADDP also admits a solution by a PD law involving finite maps. It is also shown that the type of PD law considered here preserves some structural properties of linear systems.