The device includes at least a tubular endoprosthesis (6), deployable between a retracted state and a dilated state, and a hollow support (10) which extends longitudinally between a proximal end (18) and a distal end (16). The support (10) is provided, in the vicinity of the distal end (16), with at least a transverse retention opening. The device includes at least a releasable threadlike tie (12, 14) for holding the endoprosthesis (6) on the support (10). The tie is engaged in the retention opening (28) and actuated from the proximal end (18) of the support (10) to release the endoprosthesis (6). The support (10) includes, over at least a portion of its length, a spring (24) forming the support. The spring (24) has contiguous turns over at least a portion of its length.
