The device includes a dispensing end; an attachment end; and a dispensing valve provided between the attachment end and the dispensing end and formed by a flexible member and a rigid member. The dispensing valve is actuatable between an open position in which a dispensing channel is formed between the flexible member and the rigid member, and a closed position in which the dispensing channel is closed. The dispensing valve includes a first valve portion and a second valve portion. The second valve portion is located closer to the dispensing end than the first valve portion. The dispensing valve is configured such that a greater biasing force is applied onto the rigid member by the flexible member in the first valve portion than in the second valve portion when the dispensing valve is in the closed position.