The invention relates to an injectable sterilized aqueous composition comprising at least one hyaluronic acid, at least one polyol and at least one local anaesthetic chosen from the group made up of benzocaine, chloroprocaine, procaine, etidocaine, aptocaine, chlorobutanol, diamocaine, dyclonine, guafecainol, polidocanol, articaine, bupivacaine, ropivacaine, tetracaine and pramocaine, 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.