The present invention relates to a cosmetic antiperspirant composition comprising a) at least one substance selected from the group consisting of cosmetic oils which are liquid at 20° C. and 1013 hPa, odorants and waxes, b) at least one antiperspirant aluminum salt in a total amount of 0.1 to 80 wt %, based on the total weight of the cosmetic antiperspirant composition, and c) at least one compound of formula (LA-I), in which R1 is a linear or branched alkyl group having 1 to 10 carbon atoms, and X+ is Li+, K+, NH4+, ½ Mg2+, ½ Ca2+, ½ Mn2+, ½ Zn2+, ⅓ Al3+, ¼ Zr4+ or at least one antiperspirant aluminum salt, the addition of the at least one compound of formula (LA-I) resulting in effective sealing of the efferent ducts of the sweat gland(s).