A spiral wrapping for an ironer roller for a chest ironer. Chest ironers have at least one rotatably drivable ironer roller, the lower half of which is surrounded by a stationary ironer bed. The ironer roller is surrounded by an outer spiral wrapping which comes into contact with the item of laundry to be treated. The spiral wrapping is provided with an outer layer produced from a coarse woven fabric which has a higher coefficient of friction. The coefficient of friction of the coarse woven fabric does not alter as the age of the spiral wrapping increases. This means that even in the case of older spiral wrappings, there is sufficient frictional engagement between the spiral wrapping, namely the outer layer, and the item of laundry to be smoothed out.