Packaging for medical containers, including a tub having a peripheral wall, a sealing cover sealable on an opening of the tub and a sealing envelope able to protect the sealing cover. The sealing envelope includes: a lower sealing part, having a frame able to be sealed to the peripheral wall of the tub, and a bonding surface that extends outwards from the frame, and an upper sealing part sealed on the bonding surface to enclose the opening of the tub and the sealing cover.