Aguero has established himself as one of Atletico's most important players since he arrived from Independiente in 2006.
However, he stunned the club's hierarchy earlier this summer when he announced via his official website that he wanted a move away from the Vicente Calderon, believing he had achieved all he could at the club.
While Atletico has remained defiant in allowing him to leave, many of Europe's top clubs believe they will be able to persuade the La Liga outfit to part with their most prized asset.
Despite struggling this season, finishing seventh in Serie A, Juventus are looking increasingly ambitious as the club's board look to return the Bianconeri to the summit of Italian football.
They have already installed ex-captain Antonio Conte as their new manager, and have promised him a significant war-chest to spend on players this summer.
A large portion of his budget has been dedicated to the purchase of Aguero, whose agent, Bruno Satin, reveals will not turn down a move to Juventus.
"Contact with Juventus has been constant," Satin said according to Tuttosport.
"Aguero wants to move to a big club and Juventus fit this profile."
Satin believes Juventus' absence from European competition next season will not be a factor, as Aguero recognises the club's ambition.
"We are aware of the club's rejuventaion plans but that isn't enough to impede an agreement.
"The chances of seeing Aguero wear the Juve jersey are concrete."
Atletico already look set to losing first-choice goalkeeper David De Gea, who is tipped to complete a move to Manchester United within the coming days, and will not be keen on their squad being hit by yet another departure in personnel.