The small saphenous vein can also be referred to as the lesser saphenous vein. Additionally, it may be called the short saphenous vein, as it is shorter than the great saphenous vein. Sometimes, it is simply referred to as the SSV. It is important to note that medical professionals working in different regions or countries may use different synonyms and terms for the small saphenous vein. It is always best to clarify any confusion or discrepancies in order to ensure accurate communication and treatment.