According to the invention, a fibrous structure (100) is produced as a single piece by means of multilayer weaving using a method involving: weaving the warp threads of at least one first group (110) of layers of warp threads with weft threads of which at least some (T1, T2) are woven with excess length so that weft thread end parts extend beyond the weaving zone; turning back the weft thread end parts in order to weave them with warp threads by reinserting them into layers of warp threads; and forming a hollow part, in particular a tubular part, by folding the first woven group (110) of layers of warp threads back on itself and pulling the ends of the reinserted weft threads, so that a fibrous preform for a component comprising a hollow part can be obtained as a single piece.