Import email messages from Thunderbird into a cPanel email account

Hi guys, I'm faced with a dilemma and need some help.
I'm using moonfruit webmail to manage my email and have sync'd all folders with Thunderbird using IMAP.

I have then downloaded all emails to be viewed offline within Thunderbird.

Question is, is it possible to import my emails from Thunderbird into a new cPanel email account?

Any help or pointers would be appreciated.

Thanks