The invention relates to a method and an apparatus for forming an insertion-side fabric selvedge (35) on a gripper weaving machine, whereby: a) selectively one of several weft threads (3, 4, 43, 44) that are provided on bobbins (1, 2, 41, 42) is positioned in the running path (5) of a gripper (6), while the other weft threads (3, 4, 43, 44) are held outside of the running path, whereby: b) the weft thread positioned in the running path is grasped and inserted into a loom shed by the gripper (6), whereby: c) thereafter the inserted weft thread (3) is beat-up against a binding line (33) by means of a weaving reed (31), whereby: d) the inserted weft thread (3) is cut-off on the insertion side directly after the beat-up, and e) the bobbin-side weft thread end of a respective cut-off weft thread (3) is respectively grasped and held by a different suction chamber of a suction chamber block (10, 20).