A method of dampening fluid-borne noise in an automotive power steering system in accordance with a presently preferred embodiment of the invention contemplates provision of a power steering fluid hose having a laminated inner tube surrounded by a reinforcing outer tube. The inner tube has a resilient inner layer with a radial thickness T.sub.1 and a resilient outer layer with a radial thickness T.sub.2. The inner layer is softer than the outer layer and is bonded by vulcanization to the outer layer. The radial thicknesses T.sub.1 and T.sub.2 have a ratio selected to dampen fluid-borne noise within a preselected frequency range by elastic expansion of the inner and outer layers.