An adjustable suture-button construct for ligament reconstruction. The construct is a knotless, adjustable, flexible suture loop, a first fixation device (a free or removable slotted button) and optionally a second fixation device (a fixed, non-removable button). Suture ends of the knotless suture loop provide a variable-length graft support that can be adjusted prior to, during, or after deployment of the constructs. The removable, detachable fixation device is provided with attachment feature(s) to permit assembly onto the adjustable loop. The removable, detachable fixation device is attached to the tibia end of the loop construct after the loop construct is passed through the tibial tunnel (i.e., once the loop exits the anterior tibia cortex). If a fixed, non-removable button is employed, the fixed, non-removable button is securely attached (by stitching, for example) to the graft.