The invention relates to a protective sleeve capable of being installed around a longitudinal portion of a pipe (72) for transporting hydrocarbons. Said sleeve includes a set of rings, each of which has two opposite flanks (16, 18), and which are retained together in series, with the flanks (16, 18) opposite each other, by a plurality elastically deformable connecting elements (32). The bending of said longitudinal portion is capable of causing the contraction of the connecting elements (32) located towards the inside of the curve, as well as the elongation of the opposite connection elements (32), in order to resist the bending. According to the invention, each connecting element (32) has two opposite rigid attachment portions (34, 36) and an elastic deformable body (38) interposed between said two attachment portions. Said attachment portions (34, 36) are attached to the flanks (16, 18) opposite said rings (10), respectively.