A cuff pressure stabilizer (100, 200, 300, 500, 600, 800) is provided that includes an inflation lumen proximal port connector (134), which is shaped to form an air-tight seal with an inflation lumen proximal port (15) of a catheter (10) additionally having an inflatable cuff (11) and an inflation lumen (13); a fluid reservoir (120, 524, 624); a liquid column container (118, 518, 618), which is (a) open to the atmosphere (99) at least one site along the liquid column container, (b) in fluid communication with the fluid reservoir (120, 524, 624), and (c) in communication with the inflation lumen proximal port connector (134) via the fluid reservoir (120, 524, 624); and a liquid (121), which is contained (a) in the fluid reservoir (120, 524, 624), (b) in the liquid column container (118, 518, 618), or (c) partially in the fluid reservoir (120, 524, 624) and partially in the liquid column container (118, 518, 618), and which has a density of between 1.5 and 5 g/cm