The 25-year-old is a free agent having come to the end of his contract at Blackburn in June.
Swindon are in the market for attacking reinforcements and have held talks with the forward about a switch to the County Ground.
There were high hopes for Delfouneso when he broke into the Villa first team back in 2008 and he made 31 Premier League appearances for the club before he left for Blackpool in 2014.
He spent a year there before moving to Blackburn but he started just seven league games for Rovers before coming to the end of his contract.
Now he could be set for a move down south with Swindon hoping to snap him up on a free.