A self-windable, transversely tearable textile industrial adhesive tape (1) having a tape-shaped substrate (2) which has a thickness (D2) in the range of 0.05 mm to 1.8 mm, consisting of a knitted fabric (3) having stitches (5) made of yarn (4), and which is provided on one side with a pressure-sensitive adhesive coating (6) which is applied directly to the substrate (2) with a specific weight per unit area in the range of 20 g/m2 to 300 g/m2. In order to obtain improved manufacturability as well as improved functional characteristics, in particular an improved dimensional stability during the process, while preserving the advantages of using a substrate (2), it is proposed that the substrate (2) includes weft threads (7) running mutually parallel in the transverse direction, which weft threads (7) are held in the stitches (5) of the knitted fabric (3).