The end result can be tears or breaks in the ligaments. Depending on how severe a wrist sprain is, it can take anywhere from two weeks to three months to heal. Minor sprains will heal quicker than more severe sprains.If the wrist sprain consists of snapped ligaments, a person will likely need surgery to repair it and healing time will be longer.he end result can be tears or breaks in the ligaments. Depending on how severe a wrist sprain is, it can take anywhere from two weeks to three months to heal. Minor sprains will heal quicker than more severe sprains.