What is the recovery time for over rotator cuff injury?

Good Question. We need a better understanding of your true diagnosis first. Do you have a strain/sprain without tear, a minor partial tear, a structural partial tear, or a full thickness tear? Each has a different prognosis and treatment. Learn more here: http://www.Theshouldercenter.Com/rotator-cuff-tear.Htm.
It depend. If you inflammation of the rotator cuff the treatment by using anti-inflammatory medication could in form tablets or injection in the shoulder area, it take about 3-4 weeks. If you have tear of the cuff and the tear is complete you need surgery for that.If surgery was done it take 8-12 weeks.