The invention relates to a container (1) for medical liquids, comprising an inner container (3) having a distal end (5) and a proximal end (7), a first porous separating element (9) being arranged at the proximal end (7), the first porous separating element (9) delimiting a holding volume (15) for holding a medical liquid, and comprising an outer container (17), in which the inner container (3) is arranged with the proximal end (7) and with at least portions of the holding volume (15). The outer container (17) extends around the inner container (3) gas-tight such that a gas under positive pressure can be arranged in a peripheral volume (23) arranged between an outer surface (19) of the inner container (3) and an inner surface (21) of the outer container (17). An outlet channel section (25) is connected to the distal end (5) of the inner container (3). At least portions of the outlet channel section (25) are arranged outside of the outer container (17). A valve device (29) can be arranged in the outlet channel section (25), which valve device is designed, in an open position, to open a fluid connection between a distal outlet opening (31) of the outlet channel section (25) and the holding volume (15) and, in a closed position, to block the fluid connection between the distal outlet opening (31) and the holding volume (15).
