(57) A brick-shaped block (1) of fat-containing foodstuff having a tacky surface can be more easily unwrapped, and that with reduced risk of tearing the wrapper (2), if this wrapper is lengthwise wrapped around the shortest circumference of the block with two ends (3, 8) loosely overlapping. The side margins thereof are folded against the two opposite smallest surfaces (10) of the block and care is taken that the two overlapping ends are positioned against one of the side surfaces (4) of the block defined by a largest (5) and a smallest edge (6) of said block.