The present invention relates to a dispensing device comprising: a) a container comprising a deformable wall and b) a composition stored in the container and comprising in a cosmetically acceptable medium: i) at least one aqueous phase and ii) optionally at least one oily phase iii) at least one structuring agent the said composition having a stiffness modulus G* > 5000 Pa and c) a dispensing head closing off the container and comprising an application wall defining at least one product dispensing orifice which is a slit. The present invention also relates to a cosmetic process for treating and/or caring for human keratin materials characterized in that it consists in applying to the surface of the keratin material a composition dispensed via the device as defined previously. The present invention also relates to a cosmetic process for treating human perspiration and/or perspiration related body odour which consists in applying to the surface of a human keratin material a composition dispensed via the device as defined previously.
