Compression: A little additional pressure can also keep swelling down. If you’re recovering from a lower body injury (to your hip or your knee, for example), you may have been prescribed compression socks to reduce the risk of blood clots. These or bandages, work well. Compress your upper body injury by using the same bandages or wraps that stabilize the area. NOTE: If you notice any discoloration of the skin of the hand or foot, you’re squeezing too tight.