Composition in the form of a self-reversible reverse latex comprising, for 100% of its mass: a) - from 25% by mass to 80% by mass of a crosslinked anionic polyelectrolyte, issuing from the polymerisation, for 100% molar, of: i) - a molar proportion greater than or equal to 30% and less than or equal to 95% of monomeric units issuing from at least one monomer comprising a partially or totally salified free strong acid function; ii) - optionally a molar proportion greater than or equal to 10% and less than or equal to 65% of monomeric units issuing from at least one neutral monomer; iii) - optionally a molar proportion greater than or equal to 5% and less than or equal to 65% of monomeric units issuing from at least one monomer comprising a partially or totally salified free weak acid function; and iv) - a molar proportion greater than 0% and less than or equal to 5% of at least one diethylene or polyethylene crosslinking monomer; b) - from 0.5% to 10% by mass of a terpolymer of stearyl methacrylate, pentacosaethoxylated behenyl methacrylate and N,N-dimethyl acrylamide, issuing from the polymerisation, for 100% molar, of: from 80% molar to 95% molar of stearyl methacrylate, from 2.5% molar to 10% molar of N,N-dimethyl acrylamide, and from 2.5% molar to 10% molar of pentacosaethoxylated behenyl methacrylate, c) - from 5% by mass to 40% by mass of at least one oil, and d) - from 0.1% to 40% by mass of water; said composition comprising in it neither surfactants of the oil-in-water type nor surfactants of the water-in-oil type. a) - from 25% by mass to 80% by mass of a crosslinked anionic polyelectrolyte, issuing from the polymerisation, for 100% molar, of: i) - a molar proportion greater than or equal to 30% and less than or equal to 95% of monomeric units issuing from at least one monomer comprising a partially or totally salified free strong acid function; ii) - optionally a molar proportion greater than or equal to 10% and less than or equal to 65% of monomeric units issuing from at least one neutral monomer; iii) - optionally a molar proportion greater than or equal to 5% and less than or equal to 65% of monomeric units issuing from at least one monomer comprising a partially or totally salified free weak acid function; and iv) - a molar proportion greater than 0% and less than or equal to 5% of at least one diethylene or polyethylene crosslinking monomer; i) - a molar proportion greater than or equal to 30% and less than or equal to 95% of monomeric units issuing from at least one monomer comprising a partially or totally salified free strong acid function; ii) - optionally a molar proportion greater than or equal to 10% and less than or equal to 65% of monomeric units issuing from at least one neutral monomer; iii) - optionally a molar proportion greater than or equal to 5% and less than or equal to 65% of monomeric units issuing from at least one monomer comprising a partially or totally salified free weak acid function; and iv) - a molar proportion greater than 0% and less than or equal to 5% of at least one diethylene or polyethylene crosslinking monomer; b) - from 0.5% to 10% by mass of a terpolymer of stearyl methacrylate, pentacosaethoxylated behenyl methacrylate and N,N-dimethyl acrylamide, issuing from the polymerisation, for 100% molar, of: from 80% molar to 95% molar of stearyl methacrylate, from 2.5% molar to 10% molar of N,N-dimethyl acrylamide, and from 2.5% molar to 10% molar of pentacosaethoxylated behenyl methacrylate, from 80% molar to 95% molar of stearyl methacrylate, from 2.5% molar to 10% molar of N,N-dimethyl acrylamide, and from 2.5% molar to 10% molar of pentacosaethoxylated behenyl methacrylate, c) - from 5% by mass to 40% by mass of at least one oil, and d) - from 0.1% to 40% by mass of water;