The present invention concerns a complex of terpinen-4-ol with a polymer of cross-linked hyaluronic acid, in particular with urea, and compositions containing thereof. The invention further relates to the use of the complex, or compositions containing thereof, in the hygiene of the periocular area, and in the treatment of blepharitis, acne, rosacea, acute or chronic conjunctivitis or infestations caused by mites, in particular by Demodexor by Cheyletiella mite.