A tubular occlusion and pressure damping system includes, a tubular, an occlusion configured to block flow through the tubular, the occlusion having, a first chamber in pressure communication with an inside of the tubular, a second chamber in fluidic communication with the first chamber, and a flow restrictor in operable communication with the first chamber and the second chamber. The flow restrictor configured to throttle flow between the first chamber and the second chamber such that pressure increases within the second chamber lag behind pressure increases in the inside of the tubular at least until the second chamber has reached a selected volume after which pressure within the second chamber increases toward the pressure in the inside of the tubular.