An aircraft inflatable harness assembly for an aircraft oxygen crew mask for providing regulated flow of oxygen on board an aircraft for an aircraft crew. The aircraft inflatable harness includes at least one inner inflatable tube having a normally deflated configuration and an inflated configuration. The inner inflatable tube has a first and second end, and is configured to inflate to cause expansion of the harness assembly to allow the harness assembly to be placed over a user's head. The inner inflatable tube includes a braided outer sleeve of elastic material. The outer sleeve is configured to have a first length when the inner inflatable tube is in a normally deflated configuration, and the outer sleeve is configured to longitudinally expand to a second length greater than the first length while remaining appreciably the same diameter in the radial direction when the inner inflatable tube is in an inflated configuration.