A textile sleeve for routing and protecting elongate members and method of construction thereof is provided. The sleeve includes an elongate wall having opposite edges extending parallel to a central axis. The wall is woven with warp yarns extending parallel to the axis and hybrid fill yarns extending transversely to the warp yarns. The hybrid fill yarns are provided having a yarn filament core and non-metallic first and second yarn filaments overlying the yarn filament core. The first yarn filament is twisted about the yarn filament core in a first helical direction and the second multifilament yarn is twisted over the first yarn filament and about the yarn filament core in a second helical direction. The first helical direction and the second helical direction being opposite one another to provide a resultant zero torque on the yarn filament core.