The present invention relates to a film comprising copolymers of ethylene and of an unsaturated epoxide and comprising quinones grafted onto these copolymers. The quinones are subsequently reduced (activation) to become oxygen absorbers. According to an advantageous form of the invention, it is possible, in addition to the quinones, to graft a product which results in the appearance of a hydroxyl functional group (proton donor) and optionally introduces other hydroxyl functional groups. This improves the activation of the quinone functional groups. The present invention also relates to structures comprising at least one barrier film to oxygen and at least the preceding film. The present invention also relates to a packaging comprising the preceding structure, in which, starting from the inside of the packaging and proceeding towards the outside, first the oxygen-absorbing film is encountered, followed by the barrier film to oxygen.