Abstract: A machine for forming the so-called tucked selvedge is disclosed, which comprises two thread-grasping units, a thread cutting unit and a movable hook-needle. The second thread-grasping unit is laterally shifted relative to the first like mechanism. The hook-needle serves to grasp the weft thread and to insert it in the warp shed as this becomes available. The working sequence of all of these mechanical units is warranted by appropriate, specially provided cam and linkage mechanisms. The advantage is that thread waste for the formation of a dummy selvedge is prevented.