Abstract: A weaving machine arrangement incorporates a shaft frame machine and, arranged on both sides thereof, two Jacquard machines. The weaving machine arrangement is coordinated/controllable and first warp threads for the woven material are obtained from the shaft frame weaving machine and second warp threads are obtained from the Jacquard machines. A tubular material is formed from top and bottom plies which are connected by turnover fold areas. The second warp threads are used to form the spread-out turnover fold areas in the tubular material. The Jacquard machines are controlled to form patterns for closing locations of the weft threads in the turnover fold areas. By using spread-out turnover fold areas and spreading the closing locations of the weft threads in these areas, high-strength piecing functions are obtained in the tubular weave. Also, the level of automation is increased in relation to conventional production.