There's no way to know. Only the IRS determines that. The "5 day early" thing is based on the idea that, if you look at "where's my refund", there will be a day when it says "refund approved -- payment expected on X". You are supposed to get your advance 5 days before X, but it will never be before the IRS approves it, and the IRS can take as long or as short as they want.
Since the IRS does not officially open for e-filing until January 29 (even though Turbotax is accepting returns now), the earliest deposit date is probably around February 19, so the 5 days early might be Feb 14, but there is no guarantee.
