Composition, preferably a cosmetic composition, in particular for coating keratin fibres such as the eyelashes, comprising: - an aqueous phase representing from 30% to 80% by weight, relative to the total weight of the composition, - a lamellar phase Lβ formed by an aqueous phase-structuring surfactant system, said surfactant system comprising a content of surfactant(s) of greater than or equal to 15% by weight relative to the total weight of the composition, said surfactant system comprises at least one nonionic surfactant, preferably, said surfactant system comprises a total content of nonionic surfactant(s) of greater than or equal to 15% by weight relative to the total weight of the composition, the surfactant system comprising: * at least one nonionic surfactant with an HLB value at 25°C of less than 8, and * at least one nonionic surfactant with an HLB value at 25°C of greater than or equal to 8, at least one from among the nonionic surfactant(s) with an HLB value at 25°C of less than 8 and at least one from among the nonionic surfactant(s) with an HLB value at 25°C of greater than or equal to 8 corresponding to formula below: (ALK-[C] a - b) c -X in which formula: - ALK is a C 7 -C 23, preferably C 11 -C 21 and more preferentially C 15 -C 17 alkyl group, - a and b are integers between 0 and 100, c is an integer between 1 and 100, in particular between 1 and 3, preferably equal to 1, a and b preferably being equal to 0 or 1, - X is a (poly)oxyalkylene group optionally substituted and/or terminated with a hydroxyl group, X preferably being an oxyethylene group (CH 2 CH 2 O) n or (OCH 2 CH 2) n in which n is greater than or equal to 1, for example between 1 and 200, said (poly)oxyalkylene group preferably being a polyethylene glycol or being the result of at least one substitution of a hydroxyl group, preferably chosen from (poly)glycerols, - at least one (poly)vinylpyrrolidone hydrophilic polymer present in a content of greater than or equal to 1% by weight of solids relative to the total weight of the composition, the hydrophilic polymer(s) having a weight-average molecular mass Mw ranging from 1500 to 500 000 g/mol, said (poly)vinylpyrrolidone hydrophilic polymer(s) are chosen from: * homopolymers of (poly)vinylpyrrolidone, * (poly)vinylpyrrolidone/(poly)vinyl acetate copolymers, and a mixture thereof. - an aqueous phase representing from 30% to 80% by weight, relative to the total weight of the composition, - a lamellar phase Lβ formed by an aqueous phase-structuring surfactant system, said surfactant system comprising a content of surfactant(s) of greater than or equal to 15% by weight relative to the total weight of the composition, said surfactant system comprises at least one nonionic surfactant, preferably, said surfactant system comprises a total content of nonionic surfactant(s) of greater than or equal to 15% by weight relative to the total weight of the composition, the surfactant system comprising: * at least one nonionic surfactant with an HLB value at 25°C of less than 8, and * at least one nonionic surfactant with an HLB value at 25°C of greater than or equal to 8, at least one from among the nonionic surfactant(s) with an HLB value at 25°C of less than 8 and at least one from among the nonionic surfactant(s) with an HLB value at 25°C of greater than or equal to 8 corresponding to formula below: (ALK-[C] a - b) c -X in which formula: - ALK is a C 7 -C 23, preferably C 11 -C 21 and more preferentially C 15 -C 17 alkyl group, - a and b are integers between 0 and 100, c is an integer between 1 and 100, in particular between 1 and 3, preferably equal to 1, a and b preferably being equal to 0 or 1, * at least one nonionic surfactant with an HLB value at 25°C of less than 8, and * at least one nonionic surfactant with an HLB value at 25°C of greater than or equal to 8, - ALK is a C 7 -C 23, preferably C 11 -C 21 and more preferentially C 15 -C 17 alkyl group, - a and b are integers between 0 and 100, c is an integer between 1 and 100, in particular between 1 and 3, preferably equal to 1, a and b preferably being equal to 0 or 1, - X is a (poly)oxyalkylene group optionally substituted and/or terminated with a hydroxyl group, X preferably being an oxyethylene group (CH 2 CH 2 O) n or (OCH 2 CH 2) n in which n is greater than or equal to 1, for example between 1 and 200, said (poly)oxyalkylene group preferably being a polyethylene glycol or being the result of at least one substitution of a hydroxyl group, preferably chosen from (poly)glycerols, - at least one (poly)vinylpyrrolidone hydrophilic polymer present in a content of greater than or equal to 1% by weight of solids relative to the total weight of the composition, the hydrophilic polymer(s) having a weight-average molecular mass Mw ranging from 1500 to 500 000 g/mol, said (poly)vinylpyrrolidone hydrophilic polymer(s) are chosen from: * homopolymers of (poly)vinylpyrrolidone, * (poly)vinylpyrrolidone/(poly)vinyl acetate copolymers, and a mixture thereof. * homopolymers of (poly)vinylpyrrolidone, * (poly)vinylpyrrolidone/(poly)vinyl acetate copolymers,