Generally, a 50% blockage of a carotid and if you haven't had any signs or symptoms of a stroke, it is usually recommend that the condition be treated with lifestyle changes and medication. Eating healthy foods, exercising, losing weight and, in some cases, lowering the amount of sodium in your diet, may help slow the progression of carotid artery blockage (stenosis). Cigarette smoking is a risk factor for carotid artery disease and stroke. If you use tobacco, you should permanently stop.