Embodiments described herein provide systems and methods for vertebral reduction using sleeves detachably coupled to collars of bone fasteners. The reduction can be performed during a minimally invasive procedure for implanting spinal stabilization systems. A sleeve can include internal threads that match threads on the respective collar to form a continuous set of threads. Threads on a closure member can be engaged with the threads on the sleeve and the closure member turned to translate the closure member along the sleeve. The closure member can be used to push a rod relative to the collar to which the sleeve is attached to cause a vertebral body to move.