The invention concerns a device formed with several yarns (2) knitted together so as to constitute a cylindrical elongated knitted fabric, that is a knitted fabric wherein the yarns (2) forming the stitches intersect substantially at the radially inner zone of said knitted fabric. The invention also concerns a device for setting in place, in the corporeal duct to be treated, an occluding device (1), comprising a longitudinal tube designed to contain the occlusive device when the latter is inserted into the duct to be treated.