The device comprises a prosthesis designed as a hollow body compressed against the action of restoring spring forces to a cross section reduced relative to an expanded use position, and held in this position by a strippable sheath. After the sheath is stripped, the prosthesis automatically expands to a cross section corresponding to the use position. The sheath, which can be a meshwork in the approximate form of crocheted material, extends over the entire length of the prosthesis and consists of at least one continuous thread and at least one drawstring. The prosthesis, held in the radially compressed position by the sheath, can be mounted displaceably on a feed wire or non-axially-displaceably on the insertion end of a probe or a catheter.