This electric current transmission cable includes a non-anodized bare conductor based on aluminum or an aluminum alloy having a hydrophilic external specific surface intended to be in contact with the atmospheric environment, and an inside volume intended to conduct an electric current. The external specific surface of the bare conductor has a first roughness parameter, defined as the arithmetic mean deviation, measurable by profilometry, of peaks and valleys in comparison to a predetermined average profile over a reference length or surface, equal to or greater than 1.9 μm. In addition, the inside volume of the bare conductor has oxygen doping of its aluminum-based or aluminum alloy-based components at a ratio equal to or greater than 20%, to a depth of at least 300 nm with respect to the external specific surface.