A device for wrapping around a bodily organ and preventing overexpansion thereof. The device comprises inner and outer surfaces with a pliant material located therebetween. The inner surface defines a passage and accommodates and reinforces a bodily organ. The bodily organ, following surgical implantation, extends through the passage and is surrounded by the device. The inner surface, in an uncompressed/slightly compressed state, defines a normal state which supports the bodily organ and permits flow of bodily material therethrough. As the bodily organ expands, due to the bodily material flowing therethrough, the inner surface and the pliant material are compressed and, in turn, correspondingly exert a collapsing force, against the outer wall of the bodily organ, which limits and opposes the expansion of the bodily organ and forces the outer wall of the bodily organ back toward its normal state which still permits flow of bodily material through the bodily organ.