Transfer Outlook Express stored email to another computer’s Outlook Express

I am currently using Outlook Express 6 on my old Windows XP desktop computer. I also have another newer computer which I plan on using as soon as I migrate all of my data to it. My problem is how I can transfer all the email messages I have in the old computer to the new computer.
I have managed exporting my address book, which I will import later into the new computer. I tried choosing to Export the messages, but it would only allow exporting to MS Outlook or Exchange within the same computer. Can someone tell me how I can move my email messages to the other computer's Outlook Express, without forwarding to my own email address and then re-downloading on the new computer?

