esophageal veins esophageal veins the esophageal veins drain blood from the esophagus to the azygos vein, in the thorax, and to the inferior thyroid vein in the neck. it also drains, although with less significance, to the hemiazygos vein, posterior intercostal vein and bronchial veins. esophageal veinsdetailsarteryesophageal arteryidentifierslatinvenae oesophagealesta98a12.3.04.011 a12.3.07.006ta24751fma70834anatomical terminology in the abdomen, some drain to the left gastric vein which drains into the portal vein.