Antiperspirant compositions that are suitable for application using a roll applicator include water, at least one perspiration-inhibiting aluminum compound or aluminum-zirconium compound, furthermore dehydroxanthan gum, and in addition thereto at least one nonionic thickening polymer selected from cellulose and cellulose ethers as well as mixtures thereof. The compositions exhibit elevated shelf stability even at relatively high temperatures, as well as reduced visible residua on the skin.