Compression Stockings For more severe varicose veins, your physician may prescribe compression stockings. Compression stockings are elastic stockings that squeeze your veins and stop excess blood from flowing backward. In this way, compression stockings also can help heal skin sores and prevent them from returning. You may be required to wear compression stockings daily for the rest of your life. For many patients, compression stockings effectively treat varicose veins and may be all that are needed to relieve pain and swelling and prevent future problems. When these kinds of treatments alone do not relieve your varicose veins, you may require a surgical or minimally invasive treatment, depending upon the extent and severity of the varicose veins. These treatments include sclerotherapy, ablation, vein stripping, and laser treatment.