The internal jugular vein is formed by the anastomosis of blood from the sigmoid sinus of the dura mater and the common facial vein. The internal jugular runs with the common carotid artery and vagus nerve inside the carotid sheath.he internal jugular vein is formed by the anastomosis of blood from the sigmoid sinus of the dura mater and the common facial vein. The internal jugular runs with the common carotid artery and vagus nerve inside the carotid sheath.