The present invention relates to a composition for dyeing keratin fibres comprising at least one aqueous dispersion of particles of hybrid film-forming hydrophobic acrylic polymer, at least one linear block silicone copolymer and at least one pigment. It also relates to a dyeing method in which said composition is applied to the keratin fibres, the operation optionally being followed by a drying operation. The composition makes it possible to obtain a coloured, shampoo-resistant coating that leaves the treated fibres individualized, with an improved cosmetic feel.