A weaving loom for weaving a multilayer fabric (1; 201; 401) comprising warp yarns and weft yarns, the weft yarns being of different lengths, wherein the weaving loom comprises: • insertion means, configured for: picking a weft at a pickup position along a weft axis of the weaving loom, drawing the weft from the pickup position into a shed of warp yarns along the weft axis, and releasing the weft at a given position along the weft axis; • main heddles, configured for guiding main warp yarns and defining a main harness width along the weft axis; and • a main shedding mechanism of the Jacquard type, configured for moving the main heddles along a vertical path; characterized in that: • the weaving loom comprises: a set of first auxiliary heddles, configured for guiding first auxiliary warp yarns and defining a first clamping area along the weft axis, the first clamping area being arranged within the main harness width; a first auxiliary shedding mechanism, configured for moving the first auxiliary heddles; and • the weaving loom is configured for, at a first pick: opening a main shed of main warp yarns by means of the main heddles, moved by the main shedding mechanism, and opening a first auxiliary shed of first auxiliary warp yarns by means of the first auxiliary heddles, moved by the first auxiliary shedding mechanism, for the insertion of a first weft by the insertion means; and closing the first auxiliary shed by means of the first auxiliary heddles, moved by the first auxiliary shedding mechanism, for clamping the first weft with the first auxiliary warp yarns in the first clamping area, after the insertion means have drawn the first weft through the first clamping area and while the main shed is still open. • insertion means, configured for: picking a weft at a pickup position along a weft axis of the weaving loom, drawing the weft from the pickup position into a shed of warp yarns along the weft axis, and releasing the weft at a given position along the weft axis; picking a weft at a pickup position along a weft axis of the weaving loom, drawing the weft from the pickup position into a shed of warp yarns along the weft axis, and releasing the weft at a given position along the weft axis; • main heddles, configured for guiding main warp yarns and defining a main harness width along the weft axis; and • a main shedding mechanism of the Jacquard type, configured for moving the main heddles along a vertical path; • the weaving loom comprises: a set of first auxiliary heddles, configured for guiding first auxiliary warp yarns and defining a first clamping area along the weft axis, the first clamping area being arranged within the main harness width; a first auxiliary shedding mechanism, configured for moving the first auxiliary heddles; and a set of first auxiliary heddles, configured for guiding first auxiliary warp yarns and defining a first clamping area along the weft axis, the first clamping area being arranged within the main harness width; a first auxiliary shedding mechanism, configured for moving the first auxiliary heddles; and • the weaving loom is configured for, at a first pick: opening a main shed of main warp yarns by means of the main heddles, moved by the main shedding mechanism, and opening a first auxiliary shed of first auxiliary warp yarns by means of the first auxiliary heddles, moved by the first auxiliary shedding mechanism, for the insertion of a first weft by the insertion means; and closing the first auxiliary shed by means of the first auxiliary heddles, moved by the first auxiliary shedding mechanism, for clamping the first weft with the first auxiliary warp yarns in the first clamping area, after the insertion means have drawn the first weft through the first clamping area and while the main shed is still open. opening a main shed of main warp yarns by means of the main heddles, moved by the main shedding mechanism, and opening a first auxiliary shed of first auxiliary warp yarns by means of the first auxiliary heddles, moved by the first auxiliary shedding mechanism, for the insertion of a first weft by the insertion means; and closing the first auxiliary shed by means of the first auxiliary heddles, moved by the first auxiliary shedding mechanism, for clamping the first weft with the first auxiliary warp yarns in the first clamping area, after the insertion means have drawn the first weft through the first clamping area and while the main shed is still open.