The invention concerns a composition for thy-cleaning textile articles, characterised in that it is anhydrous and in that it comprises, as an active cleaning agent: dipropylene glycol monomethyl ether, an amphiphilic solvent A chosen from the group consisting of dipropylene glycol mono-n-propyl ether, dipropylene glycol mono-n-butyl ether, dipropylene glycol mono-tert-butyl ether or the mixtures thereof, and at least one dibasic ester B having a KB index higher than 30 and represented by the following general formula (I): R—O—C(═O)—(CH2)n-C(═O)—O—R′ (I) in which n is a whole number between 1 and 9; R and R′ are identical or different, each separately representing an alkyl group having 1 to 6 carbon atoms, or an alkenyl group having 2 to 6 carbon atoms.