You can reduce your risk of arterial thrombosis by: quitting smoking drinking less alcohol losing weight if you need to keeping physically active eating a healthy, balanced diet Your doctor might recommend medicines to reduce your cholesterol and blood pressure. To reduce your risk of venous thrombosis, you should quit smoking and maintain a healthy weight. If you’re at a high risk of deep venous thrombosis, your doctor may advise against the oral contraceptive pill and may recommend compression stockings, especially on long flights and after surgery. Your doctor might recommend you take a low dose of aspirin each day to thin your blood. They may also prescribe anticoagulants to help prevent thrombosis and reduce your risk of clots.