A filter-tipped cigarette having: a tobacco portion having an outer end and an inner end; a filter butt-connected to the inner end of the tobacco portion; a first sleeve wound about the tobacco portion and the filter to connect the filter permanently and non-detachably to the tobacco portion; a cap butt-connected to the outer end of the tobacco portion, at the opposite end from the filter, and removable to smoke the filter-tipped cigarette; and a second sleeve, which is wound about the cap and the tobacco portion, is integral with the cap, and is at least partly removable axially from the tobacco portion together with and to remove the cap.