In this paper, a porous medium, microstructure, and morphology of the surface of a sheet non-sprayed getter based on a Ti–V system, obtained by cold rolling of powder into a tape and its subsequent sintering, are studied. The macro- and mesoporous structures are considered. The microporous structure is formed during the cold rolling of Ti–V30 powder into a tape, and it is a porous framework with an average capillary diameter of 5.00–8.50 μm. The mesoporous structure in the initial PTP powder is a uniformly distributed porosity on the surface of particles of the powder. During the heat treatment of the formed rolled stock, the mesoporosity qualitatively transforms into cracks on the surface of the sintered porous body. An interrelation between the parameters of the macroporous structure, which affect the formation of mesoporosity (mesocracks) on the surface of the sintered rolled stock, determining a specific sorption rate, was established. A hypothesis on the mechanisms of formation of the mesoporosity in the sintered getter during its heat treatment is formulated, and recommendations that allow obtaining getter materials having a maximum specific sorption rate are given. The necessity of performing an analysis of macro- and mesoporosity for bulk porous getters and mesoporosity in the case of film getters to explain and predict their sorption properties is shown.