Corriere Dello Sport says Juve sees the Serb as a replacement for departing captain Giorgio Chiellini.
Federico Gatti will return from Frosinone to replace Daniele Rugani, with Leonardo Bonucci and Matthijs de Ligt to be Juve's first-choice defensive pair next season.
Milenkovic is seen as cover for the senior pair, with Gatti the fourth choice.
Juventus raided Fiorentina in January for Dusan Vlahovic and aims to renew communication lines now for Milenkovic this summer.
Source: Tribalfootball
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