A self-reversible reverse latex comprising, for 100% of the mass of same: a) - From 25% by mass to 80% by mass of a cross-linked anionic polyelectrolyte (P), resulting from the polymerisation, for 100 mole percent: i) - of a molar proportion greater than or equal to 30% and less than or equal to 95% of monomeric units from at least one monomer comprising a free, partially- or totally-salified strong acid function; ii) - optionally of a molar proportion greater than or equal to 10% and less than or equal to 65% of monomeric units from at least one neutral monomer; iii) - optionally of a molar proportion greater than or equal to 5% and less than or equal to 65% of monomeric units from at least one monomer comprising a free, partially- or totally-salified weak acid function; and iv) - of a molar proportion greater than 0% and less than or equal to 5% of at least one monomer with diethylenic or polyethylenic cross-linking; b) - From 0.5% to 10% by mass of a terpolymer of stearyl methacrylate, pentacosaethoxylated behenyl methacrylate and N,N-dimethylacrylamide, resulting from the polymerisation, for 100 mole percent: of 80 mole percent to 95 mole percent of stearyl methacrylate, of 2.5 mole percent to 10 mole percent of N,N-dimethylacrylamide, and of 2.5 mole percent to 10 mole percent of pentacosaethoxylated behenyl methacrylate, c) - From 5% by mass to 40% by mass of at least one oil, and d) - From 0.1% by mass to 40% by mass of water; method of preparing same and use thereof as a thickener.Latex inverse auto-inversible comprenant pour 100% de sa masse : a) - De 25% massique à 80% massique d'un polyélectrolyte anionique (P) réticulé, issu de la polymérisation pour 100% molaire: i) -d'une proportion molaire supérieure ou égale à 30% et inférieure ou égale à 95% d'unités monomériques issues d'au moins un monomère comportant une fonction acide fort, libre partiellement ou totalement salifiée; ii) - optionnellement d'une proportion molaire supérieure ou égale à 10% et inf