Alright, I'm just making this update to explain what I've done.
As the update doesn't seem to install default Zimlets when Zimbra is shutdown, I had to upgrade Clamav to have Zimbra running all services.
It is explained here :
ClamAV - Updating Version - Zimbra :: Wiki
I did a test on a virtual server without doing this step, and the server wasn't running all services after the upgrade.
Then I used the common upgrade process and it ran smoothly. However, don't forget to use the
screen program, because the upgrade is very slow.