A hypoallergenic cover for bed pillows, realised in Tencel®, a soft and lightweight elastic fabric made from natural cellulose from the Eucalyptus tree. The cover features a zipper along the short side and is machine washable at 40°C on the delicate cycle. The cover fits all Ennerev pillows, with the exception of Fibra 400, Fibra 800, Cervical, Memo Fibra and Ecopiuma.