Take a look at this sourceforge project:
http://sourceforge.net/projects/yap2lc/
It moved passwd users to ldap.
Disclaimer:
I only know one person who ever used this with zimbra, and he's not around anymore. I have no idea how to use it, but it works.
You're gonna need to do a little sleuthing on the forums for how to get it to work.
Good luck, and if you have any questions, let us know.
john