Provided is a bracket for securing a number of cooling rings arranged on a bearing ring, which bracket includes an upper surface, a lower surface shaped to lie on the cooling rings, and a through-opening extending between the upper surface and the lower surface to accommodate a fastener for mounting the bracket to the bearing ring; wherein the material properties of the bracket are chosen to permit movement of the cooling rings relative to the bracket when the bracket is mounted to the bearing ring; and/or wherein the bracket is made of a resilient elastic material. Further provided is a cooling arrangement for a bearing, including a number of cooling rings arranged in parallel on a mounting surface of a bearing ring of the bearing; and a number of such brackets to secure the cooling rings to the bearing body.