Anhydrous aerosol composition containing: i) an oily phase comprising, in a physiologically acceptable medium: - one or more volatile oils, - one or more antiperspirant active agents chosen from aluminum salts and / or zirconium, and - one or more ethylene polymers of film-forming and water-insoluble blocks comprising a first block with a glass transition temperature (Tg) greater than or equal to 85 ° C and a second block with a Tg less than or equal to 20 ° C, and ii) one or more propellers； wherein said oil phase preferably contains less than 15% by weight and even more preferably less than 12% by weight of non-volatile polydimethylsiloxane, with respect to the total weight of the oils, wherein said second block comprising at least one monomer with a Tg less than or equal to 20 ° C is chosen from the following monomers, alone or as a mixture: - acrylates of the formula CH2>； = CHCOOR3, in which R3 represents a linear or branched C1 to C12 alkyl group, with the except for the tert-butyl group, in which one or more heteroatoms chosen from O, N and S are optionally intercalated, in which said alkyl group may also be substituted with one or more substituents chosen from hydroxyl groups and halogen atoms； - methacrylates of the formula CH2>； = C (CH3) -COOR4, in which R4 represents a linear or branched C6 to C12 alkyl group, in which one or more heteroatoms chosen from O, N and S are optionally interleaved, wherein said alkyl group may also be substituted with one or more substituents chosen from hydroxyl groups and halogen atoms； - the vinyl esters of the formula R5-CO-O-CH>； = CH2, in which R5 represents a linear or branched C4 to C12 alkyl group； - C4 to C12 alkyl vinyl ethers； - N- (C4-C12 alkyl) acrylamides； - the monomers of the formula (I) below, alone or as a mixture: ** Formula ** in which: - R1 is a hydrogen atom or a methyl radical； - Z is a divalent group chosen from -COO-, -CONH-, -CONCH3 -, - OCO-, -O-, -SO2- -CO-O-CO- and -CO-CH2-CO-； - x is 0 or 1
