What is a safe schedule for tapering off of nebivolol? My doctor put me on clonidine (I currently take .05 mg with supper. I am a non-dipper), after I had been on nebivolol (2.5 mg. with breakfast) for years and now wants me to get off both of them. I have received no guidance as to the safe way to do this, and I know it can be very dangerous.I do know I need to get of the best blocker first. I do not have heart disease and my treadmill tests, EKGs, etc. are normal. There is some stroke on my father's side of the fmily. I am an active 71-year-old female, 5'6", weighing 135 lobs. I eat a healthy diet and walk a brisk 20 minutes 5 days a week.