This invention relates to a composition, preferably a demake-up cosmetic composition, comprising: an oily phase dispersed in an aqueous phase, at least one homopolymer of non-superabsorbent acrylic acid that is at least partially neutralized, at least one cross-linked copolymer of (meth)acrylic acid and of C1-C6 alkyl acrylate, at least one polysaccharide gelling agent comprising at least one glucose monomer, and said composition having a pH greater than or equal to 5.5. It also relates to the use of such a composition for the demake-up of keratin materials.