This is reported by Hull Live who state that the 21-year-old will join the club after manager Unai Emery sanctioned the deal which will allow him more room to grow at the Championship side this season.
City owner Acun Ilicali and Villa owner Nassef Sawiris have a close relationship which would have helped with the deal for the striker who can also play on the left flank if needed for the Tigers.
Barry netted 15 times in 23 League One games whilst on loan at Stockport County during the first half of the season but now looks to move up a league where the likes of Sheffield United, Middlesbrough, Leeds United and Derby County were all interested.
Jaden Philogene's development during his short time in East Yorkshire last season may have helped push the deal forward with Sawiris and Emery opting for a club who are known to develop many of the Premier League’s upcoming talents.