A method of processing and depositing sliver includes the following steps: drafting the running sliver in a drawing frame; forwarding the sliver by the drawing frame to a coiler head having a sliver outlet; depositing the sliver by the coiler head into a coiler can located underneath the coiler head; replacing a coiler can filled with sliver with an empty coiler can; and rupturing the sliver during the replacing step. To obtain the desired rupture of the sliver, the draft of the running sliver is increased in the drawing frame to such an extent as to provide a location of reduced thickness in the running sliver. Thereupon the filled can is moved away from under the coiler head when the location of reduced thickness in the running sliver is situated in a zone of the sliver outlet of the coiler head.