The invention relates to a drug delivery device comprising a container for a product, said container comprising a distal tip having a longitudinal axis A and a channel providing a passageway for the transfer of said product, the outer surface of said distal tip comprising a proximal portion and a distal portion linked to each other by a coupling portion, said proximal portion, distal portion and coupling portion being aligned on said longitudinal axis A, wherein the greatest external diameter of said coupling portion is greater than the greatest external diameter of said distal portion on a length L measured along said longitudinal axis A at least equal to 1 mm. The invention also relates to an assembly comprising such a drug delivery device and an adaptor.