Method of using immunomodulatory compounds for treating diseases related to an overproduction of inflammatory cytokines, including diseases selected from asthma, atopic dermatitis, allergic rhinitis, prostatitis, inflammatory bowel disease, diabetes, and rhumatoid arthritis, the compounds being of general formula (I): wherein: m and n, independently from each other, are an integer ranging from 1 to 4, X and Y represent —COOH, —O—P(O)(OH)2, —O—SO2(OH), —NH2, —OH, —CONH(CH2)n1—NH2, —CO—NH—CH(COOH)—(CH2)n1—COOH, —CO—NH—CH(COOH)—(CH2)n1—NH2, —O—CO—(CH2)n1—NH2, —O—CO—(CH2)n1—CHOH—CH2OH, —O—CO—(CH2)n1—OH, —O—CO—(CH2)n1—COOH, —O—CO—(CH2)n1—CHO, —O—CO—(CH2)n1—NH—CO—(CH2)n2—COOH, R1 and R2 each designate an acyl group derived from a saturated or unsaturated, straight- or branched-chain carboxylic acid having from 2 to 18 carbon atoms, which is unsubstituted or bears one to three substituents selected among hydroxyl, dihydroxyphosphoryloxy, alkyl of 2 to 18 carbon atoms, alkoxy of 2 to 18 carbon atoms, acyloxy of 2 to 18 carbon atoms in the acyl moiety, amino, acylamino.