Continuous method for making a web of draw strip bags, comprising providing a film web (F) wherein a first portion (11) and a second portion (12) overlap each other with free longitudinal side edges (7, 7′) thereof being essentially aligned with each other, back folding a first part (13) having said free side edge (7) of the first portion (11) outwardly away from said second portion (12) along a first fold line (B) by a first hemmer (120), and by folding a first subpart (15) of said first part (13) along a second fold line (C) whereby the free side edge (7) of the first portion (11) is brought into near alignment with said first fold line (B) while a second subpart (14) of said first part (13) of the first portion (11) remains back folded, whereby said first and second subparts (14, 15) of the first portion define a first hem (H1).