A boil-off management system for a cryotank includes a boil-off conduit which is fluidically connectable to a cryotank via a boil-off valve. The boil-off management system further includes an air feed conduit and a mixing chamber for mixing a first medium (e.g., hydrogen) flowing in through the boil-off conduit with a second medium (e.g., air and/or oxygen) flowing in through the air feed conduit. A catalytic converter is arranged downstream of the mixing chamber and an outlet downstream of the catalytic converter. At least one enrichment apparatus is provided and configured to temporarily increase the proportion of the first medium flowing in through the boil-off conduit in relation to the second medium flowing in through the air feed conduit at the catalytic converter.