 Because blood thinner medicine keeps your blood from clotting, it also increases the chances that you could bleed too much. So, if you use this drug, it is important that you also be careful in your daily activities. Be careful when doing activities that might put you at risk for getting a cut or bruise. Even a small cut can bleed more than normal because you are taking a blood thinner. Avoid high-risk sports and other potentially dangerous activities. However, you can still enjoy many of the same activities you engaged in before you started taking blood thinner pills. You just need to be a little more cautious.