Abstract: Disclosed herein is a composition for the oxidation dyeing of keratinous fibers, for example, human keratinous fibers, such as the hair, comprising, in a medium appropriate for dyeing, at least one oxidation dye and at least one polymer comprising the repetition of: (i) at least one unit derived from a monomer of acrylamide type, (ii) at least one unit derived from a monomer of dialkyldiallylammonium halide type, and (iii) at least 50 mol % of at least one unit derived from a monomer of vinylcarboxylic acid type. The composition disclosed is easily and rapidly removed during the rinsing stage while retaining good rheological and dyeing properties.