The invention relates to a drug delivery device comprising a container for a product, said container comprising a distal tip (3) having a longitudinal axis A and a channel (4) providing a passageway for the transfer of said product, the outer surface of said distal tip (3) comprising a proximal portion (5) and a distal portion (6) linked to each other by a coupling portion (7), said proximal portion (5), distal portion (6) and coupling portion (7) being aligned on said longitudinal axis A, characterized in that the greatest external diameter of said coupling portion (7) is greater than the greatest external diameter of said distal portion (6) on a length L measured along said longitudinal axis A at least equal to 1 mm. The invention also relates to an assembly (101) comprising such a drug delivery device and an adaptor (8).