Process for the preparation of a self-invertible inverse latex comprising an aqueous phase comprising: a. a crosslinked anionic polyelectrolyte consisting of: - a proportion between 10% and 95% of the monomer unit resulting from 2-methyl-2-[(1-oxo-2-propenyl)amino]-1-propanesulfonic acid in free acid or partially or completely salified form; and - a proportion between 5% and 90% of the monomer unit resulting from at least one monomer chosen from the elements of the group consisting of 2-hydroxyethyl acrylate, 2,3-dihydroxypropyl acrylate, 2-hydroxyethyl methacrylate, 2,3-dihydroxypropyl methacrylate and vinylpyrrolidone; and - a proportion of greater than 0 molar % and less than or equal to 1 molar % of monomer units resulting from a polyethylenic crosslinking monomer chosen from methylenebis(acrylamide), ethylene glycol dimethacrylate, diethylene glycol diacrylate, ethylene glycol diacrylate, diallylurea, triallylamine, trimethylolpropane triacrylate, diallyloxyacetic acid or one of its salts, such as sodium diallyloxyacetate, or a mixture of these compounds; b. at least one sequestering compound chosen from the elements of the group consisting of ethylenediamine disuccinic acid in the trisodium salt form, the tetrasodium salt of glutamic acid, N,N-diacetic acid, and the sodium salt of iminosuccinic acid, said process comprising the following stages: a) preparation of the aqueous phase as defined above, b) preparation of an organic phase comprising at least one oil and an emulsifying surfactant (S 1) system of water-in-oil type, c) mixing the aqueous phase and the organic phase prepared in stages a) and b) and emulsifying so as to form an emulsion, d) inerting the emulsion with nitrogen, e) initiating the polymerization reaction by introduction, into the inerted emulsion, of a free-radical initiator, and f) introduction, into the reaction medium resulting from stage e), of an emulsifying surfactant (S 2) system of oil-in-water type at a temperature of between 30°C and 60°C. a. a crosslinked anionic polyelectrolyte consisting of: - a proportion between 10% and 95% of the monomer unit resulting from 2-methyl-2-[(1-oxo-2-propenyl)amino]-1-propanesulfonic acid in free acid or partially or completely salified form; and - a proportion between 5% and 90% of the monomer unit resulting from at least one monomer chosen from the elements of the group consisting of 2-hydroxyethyl acrylate, 2,3-dihydroxypropyl acrylate, 2-hydroxyethyl methacrylate, 2,3-dihydroxypropyl methacrylate and vinylpyrrolidone; and - a proportion of greater than 0 molar % and less than or equal to 1 molar % of monomer units resulting from a polyethylenic crosslinking monomer chosen from methylenebis(acrylamide), ethylene glycol dimethacrylate, diethylene glycol diacrylate, ethylene glycol diacrylate, diallylurea, triallylamine, trimethylolpropane triacrylate, diallyloxyacetic acid or one of its salts, such as sodium diallyloxyacetate, or a mixture of these compounds; - a proportion between 10% and 95% of the monomer unit resulting from 2-methyl-2-[(1-oxo-2-propenyl)amino]-1-propanesulfonic acid in free acid or partially or completely salified form; and - a proportion between 5% and 90% of the monomer unit resulting from at least one monomer chosen from the elements of the group consisting of 2-hydroxyethyl acrylate, 2,3-dihydroxypropyl acrylate, 2-hydroxyethyl methacrylate, 2,3-dihydroxypropyl methacrylate and vinylpyrrolidone; and - a proportion of greater than 0 molar % and less than or equal to 1 molar % of monomer units resulting from a polyethylenic crosslinking monomer chosen from methylenebis(acrylamide), ethylene glycol dimethacrylate, diethylene glycol diacrylate, ethylene glycol diacrylate, diallylurea, triallylamine, trimethylolpropane triacrylate, diallyloxyacetic acid or one of its salts, such as sodium diallyloxyacetate, or a mixture of these compounds; b. at least one sequestering compound chosen from the elements of the group consisting of ethylenediamine disuccinic acid in the trisodium salt form, the tetrasodium salt of glutamic acid, N,N-diacetic acid, and the sodium salt of iminosuccinic acid, a) preparation of the aqueous phase as defined above, b) preparation of an organic phase comprising at least one oil and an emulsifying surfactant (S 1) system of water-in-oil type, c) mixing the aqueous phase and the organic phase prepared in stages a) and b) and emulsifying so as to form an emulsion, d) inerting the emulsion with nitrogen, e) initiating the polymerization reaction by introduction, into the inerted emulsion, of a free-radical initiator, and f) introduction, into the reaction medium resulting from stage e), of an emulsifying surfactant (S 2) system of oil-in-water type at a temperature of between 30°C and 60°C.