The invention relates to the use of a cleansing and/or care composition for impregnating a pile of absorbent supports.The care and cleansing composition has a relatively high apparent viscosity while having a rheological behavior of the shear-thinning and thixotropic type and comprises at least one care and/or cleansing compound.Thus, during an impregnation under stress, especially under pressure and with prior stirring, the composition becomes sufficiently fluid to enable it to rapidly and homogeneously diffuse into the supports arranged in a pile.