Leaktight container (1) having a flexible wall according to any of the preceding claims, characterized in that it comprises a connecting device (4) which is arranged so as to connect the container (1), in a leaktight manner, to a sterile enclosure equipped with a complementary connecting device, ensuring sterile communication between the interior volume of said container (1) and that of the enclosure, the connecting device (4) comprising a flange which is fixed in a reversible and leaktight manner to the fixing ring (6), and delimiting, together with said fixing ring, the through-opening.