A suture sleeve for securing an implantable lead with a suture includes an elongate, tubular body having a proximal end portion with a proximal face, a distal end portion with a distal face, and an exterior surface. The suture sleeve also includes a lumen within the tubular body extending from the proximal end portion to the distal end portion, wherein the lumen is sized to receive the implantable lead. The suture sleeve also includes a nonlinear, inner transition region extending from the lumen to at least one of the proximal face and the distal face of the tubular body, wherein the inner transition region is a curvilinear surface or a chamfered edge having an obtuse angle between adjacent surfaces thereof and is adapted to control the radius of curvature of the implantable lead that bends along the inner transition region.