An adhesive tape for winding around cables includes a carrier (T) with a first layer (1) made of woven fabric and with a second layer (2) made of a sewn bonded fiber fleece, wherein both layers rest fully upon each other. Between the first layer (1) and second layer (2) there is a first adhesive layer (3), wherein the second layer (2) features at least in part a second adhesive layer (4) which is arranged on the opposite side to the first adhesive layer (3). The first layer (1) features a surface weight of 100 to 200 g/m2, wherein the material of the first adhesive layer (3) comprises an adhesive and the material of the second adhesive layer (4) comprises an adhesive. The second layer (2) features a surface weight of 60 to 160 g/m2.