A degassing device (203) comprises a first chamber (21) having an inlet for a liquid, and a second chamber (22) having an opening (23) closed by a hydrophobic membrane (24) and an outlet (25) for discharging the liquid. The first chamber (21) has a downstream portion that partially extends within the second chamber (22) and communicates therewith by a passageway (28). The second chamber (22) has a downstream portion that extends below the passageway (28) and asymmetrically surrounds the downstream portion of the first chamber (21).