An injectable sterilized aqueous composition including at least one hyaluronic acid, at least one polyol and at least one local anesthetic chosen from the group made of benzocaine, chloroprocaine, procaine, etidocaine, aptocaine, chlorobutanol, diamocaine, dyclonine, guafecainol, polidocanol, mepivacaine, prilocaine, articaine, bupivacaine, ropivacaine, tetracaine and salts thereof and isolated isomers thereof. The invention also relates to a process for adapting the rheological properties of a heat sterilized injectable aqueous composition. The invention also relates to a process for producing an injectable sterilized aqueous composition according to the invention, and also to uses of said injectable sterilized aqueous composition according to the invention.