A method for depressurizing a vehicular fuel storage system comprising a first portion (100) and a second portion (150), the first portion (100) being in fluid communication with a closable filler head opening (105), the first portion (100) being separated from the second portion (150) by means of a valve (120), the method comprising: - in a first time period, depressurizing the first portion (100) by bringing the first portion (100) in communication with the atmosphere (180), while said valve (120) and said filler head opening (105) are closed; - in a second time period, depressurizing the second portion (150) by bringing the second portion (150) in communication with the atmosphere (180); and - obtaining readiness for access to said filler head opening (105) as from the end of said first time period.