This treatment with the funny name is the one often chosen to eliminate spider veins. With sclerotherapy, the physician injects an FDA-approved solution into the problem vein with a very fine needle, causing the vein wall to become sticky. Following the injections, the patient wears prescription-grade compression hose for several days, gluing the vein walls together. The body then breaks down the damaged vein and absorbs it, causing it to disappear over time. The procedure is relatively painless, and you are able to resume many normal activities immediately.