With seven days already served on a 10-day sentence, the end is genuinely around the corner, but early release on a sentence this short is unlikely for a few reasons.
Good time credit calculations on sentences as short as 10 days vary significantly by jurisdiction. Some counties apply a standard reduction that would put release at around eight or nine days with good behavior. Others require the full term to be served on short sentences imposed as probation violation sanctions, particularly because the judge set the specific number of days as a deliberate consequence rather than a longer sentence subject to standard good time formulas.
Overcrowding releases are another possibility at some county facilities. When a jail hits capacity, lower-risk inmates serving short terms are sometimes released early to free up bed space. That is not something that can be requested or guaranteed, but it does happen and someone three days from the end of a 10-day sentence is a natural candidate if the facility is making those decisions.
The fastest way to get a real answer is to call the facility and ask to speak with a release officer or the booking department. They can confirm what the actual release date is based on how the facility calculates good time on short sentences and whether any early release considerations are in play.
With seven days done and three to go, the most practical advice is to simply be ready. Three days goes by quickly and the release is coming regardless. Have a ride arranged and everything in place so nothing causes an unnecessary delay when the time comes.