Not due to the same cause, but my son gets regular nose bleeds. I have started him on Vitamin K, which is supposed to stop the nose bleeds. You can ask your doctor if you are able to take the vitamin and see if that helps you. Also when I was on oxygen (5 liters most of the time, 6 when leaving the house and 8 when at doctor appointments, due to highest that machines would go in the first 2 cases), my pulmonologist recommended a gel saline solution. It works better than regular saline when you have the constant flow of oxygen.