However, any potential deal for Jackson depends on Villa selling another centre-forward, Ollie Watkins. Several other teams, including Newcastle and Manchester United, are also interested in Watkins.
Villa are now willing to sell Watkins for £60m, but the price might drop if Emery's efforts to bring Jackson to the team are successful.
Last month, Jackson said that he is a Chelsea player and is focused on his preparation. He also mentioned that every season in football has its ups and downs, and the most important thing is to stay focused and learn from the challenges.