Inverse emulsion for the bleaching the keratinous fibers, comprises an inert phase containing a non oxygenated and non per fluorinated liquid compound having a solubility of less than 1% in water at 25[deg]C and an aqueous hydrogen peroxide solution, where the inert phase is present at least 20 wt.% in water-in-oil emulsion and the average diameter of the dispersed aqueous phase is greater than 200 nm. Independent claims are included for: (1) a ready-to-use bleaching composition comprising an inverse emulsion with one or more compositions containing an alkaline agent, a persalt, a direct dye and/or a precursor of oxidation dye and (2) a kit for bleaching the keratinous fibers comprising a ready-to-use bleaching composition.