A drug delivery device, comprising: - a housing, - a dispensing end for dispensing a drug from the drug delivery device, - a flexible container for holding the drug, the flexible container comprising an outlet, the outlet being connected to the dispensing end, and - a squeezing member comprising a rotatable roll for squeezing the flexible container, wherein, for dispensing a dose of the drug from the drug delivery device, the squeezing member and the flexible container are axially displaceable relative to one another, the squeezing member rotating with respect to the housing during the relative axial displacement and squeezing the flexible container, thereby urging the dose of the drug from the container through the outlet, - a rotatable counter member, an intermediate space being formed between the squeezing member and the counter member, wherein the flexible container is arranged in the intermediate space during dispensing of the dose, the intermediate space and the flexible container being axially displaced relative to one another during the relative axial displacement of squeezing member and flexible container, characterised in that - a flow control member comprising a valve is provided in the flow path between the outlet of the flexible container and the dispensing end, - a part of the flexible container from which the drug was displaced is wound on a rotatable receiving roll during dispensing of the dose, and wherein - a part of the flexible container which still contains the drug is wound up on a rotatable dispenser member comprising a hollow and a dispensing outlet, so that the drug may flow through the hollow towards the dispensing outlet, the outlet of the flexible container being connected to the dispensing outlet, and the dispensing outlet being connected to the dispensing end. - a housing, - a dispensing end for dispensing a drug from the drug delivery device, - a flexible container for holding the drug, the flexible container comprising an outlet, the outlet being connected to the dispensing end, and - a squeezing member comprising a rotatable roll for squeezing the flexible container, wherein, for dispensing a dose of the drug from the drug delivery device, the squeezing member and the flexible container are axially displaceable relative to one another, the squeezing member rotating with respect to the housing during the relative axial displacement and squeezing the flexible container, thereby urging the dose of the drug from the container through the outlet, - a rotatable counter member, an intermediate space being formed between the squeezing member and the counter member, wherein the flexible container is arranged in the intermediate space during dispensing of the dose, the intermediate space and the flexible container being axially displaced relative to one another during the relative axial displacement of squeezing member and flexible container, characterised in that - a flow control member comprising a valve is provided in the flow path between the outlet of the flexible container and the dispensing end, - a part of the flexible container from which the drug was displaced is wound on a rotatable receiving roll during dispensing of the dose, and wherein - a part of the flexible container which still contains the drug is wound up on a rotatable dispenser member comprising a hollow and a dispensing outlet, so that the drug may flow through the hollow towards the dispensing outlet, the outlet of the flexible container being connected to the dispensing outlet, and the dispensing outlet being connected to the dispensing end.