An annular tube (or other shape) of elastomeric cellular material comprising elastomeric closed cells having gas infused therein is supported by structures protruding from the bottom surface of a suction stabilizer's head and/or by structures within the interior volume of the annular body of the suction stabilizer, preferably with spacing between the outer diameter of the annular tube of the cellular material and the inner walls of the suction stabilizer body. The gas-infused closed cell material may thus be employed in new suction stabilizer or pulsation dampener or to retrofit existing suction stabilizers or pulsation dampeners designed for a gas-filled bladder.