Trump's lead in Georgia has shrunk from 18,000 to 13,000 with just 50,000 votes left to count in the key swing state.
As of 1pm EST on Thursday, Trump was leading in the state with just 0.2%.
There is no automatic recount, but a candidate can request one if the margin is within 0.5 per cent.
Georgia's Secretary of State said on Thursday a result should come by day's end.
The outstanding vote was primarily in the Atlanta area, which tends to lean Democratic.
On Wednesday, about 50 people were counting votes inside State Farm Arena, the home of the Atlanta Hawks NBA team.
Extra workers arrived at 10pm, bringing in more tables for the count.
Counties have until 5pm on Nov. 13 to certify results.
At stake in Georgia are 16 electoral votes. All absentee ballots were due on Tuesday.
The counting of up to 50,000 ballots in Atlanta was also delayed for two hours on Tuesday due to a burst pipe in the room where they were being kept.
The leak took place early on Tuesday morning at State Farm Arena.
The counting of absentee ballots in Atlanta had to be paused due to a burst water pipe in the room they were being held in State Farm Arena in the city (pictured)
A poll worker sorts through voting material in Atlanta on election day on Tuesday