This device comprises a tubular endoprosthesis (11) of axis (X-X′) and a stent (13) of axis (Y-Y′) defining a distal retention opening (23A) and a proximal retention opening (23B). The device comprises a distal wire-like tie (33A) and a proximal wire-like tie (33B). Each tie (33A, 33B) forms a retaining loop (43) running around the endoprosthesis (11). Each retaining loop (43) can stretch between a configuration in which the endoprosthesis (11) is kept in a contracted state against the stent (13) and a configuration in which the endoprosthesis (11) is released. When each retaining loop (43) is in its releasing configuration, the axis (X-X′) of the endoprosthesis (11) is inclined with respect to the axis (Y-Y′) of the stent (13) when no external stresses are applied. The axis (X-X′) of the endoprosthesis (11) intersects the axis (Y-Y′) of the stent in the internal line (18) defined by the endoprosthesis (11).
