A method of producing fabric covers (19) is disclosed, in particular duvet covers or pillow cases, in which a length of fabric (7) with two longitudinal edges (10, 11) and two transverse edges (8, 9) is laid out flat, the opposing parts (14, 15) of a hook-and-loop tape then being fixed respectively to the two transverse edges (8, 9) at least in strips. The two transverse edges (8, 9) are then brought to lie against one another, the opposing parts (14, 15) of the hook-and-loop tape being aligned, and the superimposed areas of the two longitudinal edges (10, 12) are sewn together by means of ornamental seams (17, 18).