The Chelsea striker is priced as a 2/1 favourite to make the move to Villa Park after falling down the pecking order at Stamford Bridge.
The 23-year-old has only started two Premier League games since the arrival of Thomas Tuchel and is widely anticipated to be available for around £20m.
Abraham was a key part in Villa's promotion push when he scored 26 goals to send Dean Smith's men back to the Premier League in 2018/19.
Villa will face competition to land the forward with West Ham United 3/1 second favourites to secure his signature.
Leicester City are 5/1, while you can get 16/1 for Everton or Arsenal to be his landing spot.
Abraham looks set to miss out on the Euro's this summer and a link up with Ollie Watkins could prove a mouthwatering partnership as Villa look to build on a solid season.