Compressibility test apparatus and method of testing compressibility. The apparatus includes a holder having a sample chamber for holding a sample in the environment of a confining pressure and means for supplying an internal pressure to the held sample. The sample and various conduits and channels that communicate with the sample define an internal system volume. Connected in this internal system volume is an internal volume adjustment pump that is operable to vary the internal system volume in incremental steps, by which the internal pressure is reduced (or increased) in steps to increase (or reduce) the net confining pressure. As a result, changes in the sample volume as a function of changes in the net confining pressure are determined, from which the compressibility of the sample is obtained.