The invention relates to a device comprising a hollow body (30) defining an inner passage (32). Said device further comprises an assembly (40) for maintaining the material (12) in position in the inner passage (32). The maintaining assembly (40) comprises a radially compressible member (110) defining, when at rest, a through-channel (122) through which the material (12) is to pass, and a member (112) for radially compressing the compressible member (110), which is radially movable relative to an axis of the through-channel (122) so as to externally compress the compressible member (110). The device comprises a member (114) for actuating the or each compressing member (112), which is radially movable relative to the body (30) so as to move the compressing member (112) from a radially retracted position, in which the cross-section of the through-channel (122) is at a maximum, to a position in which the compressing member is moved into the compressible member (110), in which the cross-section of the through-passage (122) is at a minimum.Dispositif de valve hémostatique destiné à l'introduction d'un matériel médical dans un patient, et procédé associé Ce dispositif comporte un corps creux (30) délimitant un passage interne (32). Il comporte en outre un ensemble (40) de maintien en position du matériel (12) dans le passage interne (32). L'ensemble (40) de maintien comporte un organe compressible radialement (110) délimitant au repos une lumière traversante (122) de passage du matériel (12), et un organe (112) de compression radiale de l'organe compressible (110), déplaçable radialement par rapport à un axe de la lumière de passage (122) pour comprimer extérieurement l'organe compressible (110). Il comporte un organe (114) d'actionnement du ou de chaque organe de compression (112), mobile radialement par rapport au corps (30) pour faire passer l'organe de compression (112) d'une position rétractée radialement, dans laquelle la section de la lumière de passage (122) est ma
