A reinforcing fiber texture for a composite material part is made by multi-layer three-dimensional weaving with a satin type weave or a multiple satin type weave. The texture comprises at least three layers of weft yarns T interlaced by warp yarns C, each warp yarn taking hold in alternation of one weft yarn in n from a first layer of weft yarns and of one weft yarn in n of a second layer of weft yarns adjacent to the first, the number n being an integer not less than 3. The paths of the warp yarns are similar and they are offset in the warp direction.