[Dovecot] courier-imap and dovecot in migration process

[No body ist Perfect]

Hello!
I plan a migration from courier-imap to dovecot.
at now run courier-imap as imaps server only and with perdition as 
redirector.
can i run courier-imap and dovecot at same time on the same 
server(listing on diferent ports of course), i mean with shared home 
directory tree (Mailbox dir) ?

Maybe access conflict or some problems ?
Thanks a lot