This paper describes the sensitivity stability of a mandrel type fiber optic acoustic sensor with respect to its environmental conditions such as hydrostatic pressure and underwater temperature. The sensors under consideration have various mandrel structures such as a cylindrical mandrel, a concentric composite mandrel, and an air-backed concentric composite mandrel. The analysis results show that the sensors have such good robustness, less than 0.15dB, in its sensitivity with respect to the variation in hydrostatic pressure. Further, the nylon concentric composite mandrel type sensor including an air cavity turns out to have the most superior stability than others to the underwater temperature variations.