Most likely there will be a small amount of downtime when transferring a domain from GoDaddy to DirectI. Thought maybe not. This is more of a question to ask GoDaddy as I'm sure there are certain registrars they can transfer to where there is 0 down time.
We've usually experienced zero down time, as we never noticed when domains propagate... If you're not sure, and it's important enough for you, just renew your domain with GoDaddy once more if you need to, meanwhile, test with another domain (that you might have with GoDaddy, I don't know...), whilst monitoring the site with a good site uptime service...
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