Coated steel reinforcing element obtained by coating at least a portion of the reinforcing element with an adhesive layer comprising an aqueous adhesive composition comprising: - at least one unsaturated elastomer latex, - at least one phenol/aldehyde resin based on at least: - one aromatic aldehyde bearing at least one aldehyde functional group, comprising at least one aromatic nucleus; - one polyphenol comprising one or more aromatic nucleus/nuclei, it being understood that: ∘ in the case of just one aromatic nucleus, the latter bears two or three hydroxyl functional groups in the meta position with respect to each other or with respect to one another, the remainder of the aromatic nucleus being unsubstituted; ∘ in the case of several aromatic nuclei, at least two of them each bear two or three hydroxyl functional groups in the meta position with respect to each other or with respect to one another, it being understood that the two positions ortho to at least one of these hydroxyl functional groups are unsubstituted; ∘ and the water content of the aqueous adhesive composition being between 60 and 90% by weight. - at least one unsaturated elastomer latex, - at least one phenol/aldehyde resin based on at least: - one aromatic aldehyde bearing at least one aldehyde functional group, comprising at least one aromatic nucleus; - one polyphenol comprising one or more aromatic nucleus/nuclei, it being understood that: ∘ in the case of just one aromatic nucleus, the latter bears two or three hydroxyl functional groups in the meta position with respect to each other or with respect to one another, the remainder of the aromatic nucleus being unsubstituted; ∘ in the case of several aromatic nuclei, at least two of them each bear two or three hydroxyl functional groups in the meta position with respect to each other or with respect to one another, it being understood that the two positions ortho to at least one of these hydroxyl functional groups are unsubstituted; ∘ and the water content of the aqueous adhesive composition being between 60 and 90% by weight. - one aromatic aldehyde bearing at least one aldehyde functional group, comprising at least one aromatic nucleus; - one polyphenol comprising one or more aromatic nucleus/nuclei, it being understood that: ∘ in the case of just one aromatic nucleus, the latter bears two or three hydroxyl functional groups in the meta position with respect to each other or with respect to one another, the remainder of the aromatic nucleus being unsubstituted; ∘ in the case of several aromatic nuclei, at least two of them each bear two or three hydroxyl functional groups in the meta position with respect to each other or with respect to one another, it being understood that the two positions ortho to at least one of these hydroxyl functional groups are unsubstituted; ∘ and the water content of the aqueous adhesive composition being between 60 and 90% by weight. ∘ in the case of just one aromatic nucleus, the latter bears two or three hydroxyl functional groups in the meta position with respect to each other or with respect to one another, the remainder of the aromatic nucleus being unsubstituted; ∘ in the case of several aromatic nuclei, at least two of them each bear two or three hydroxyl functional groups in the meta position with respect to each other or with respect to one another, it being understood that the two positions ortho to at least one of these hydroxyl functional groups are unsubstituted; ∘ and the water content of the aqueous adhesive composition being between 60 and 90% by weight.