In at least one embodiment of the present invention, a method for making an occluding device for occlusion of fluid flow through a lumen of a body vessel is provided. The method comprises attaching a coating to an embolization coil that is substantially straight. The coating is nominally strained on the substantially straight embolization coil. The embolization coil has a pre-curled tension to facilitate the embolization coil being curled within the lumen of the body vessel when deployed. The embolization coil is restrained from curling until deploying to reduce pre-deployment straining of the coating.