The German side have been weighing up their options this summer, but with a move for Michy Batshuayi proving particularly difficult to conclude, they have seemingly identified Mandzukic as an option.
Alvaro Morata is another name on their shortlist, but according to 'Bild', the Croatian is quickly emerging as the most realistic target.
The 32-year-old enjoyed a fine World Cup with Croatia, who lost in the final against France, and already has copious Bundesliga experience following spells at Wolfsburg and Bayern Munich.
The arrival of Cristiano Ronaldo in Turin looks set to threaten Mandzukic's place in the team, though it remains to be seen if Juventus will opt to cash in on him or Gonzalo Higuain, who is a target for Chelsea.
Mandzukic made 43 appearances for Juventus last season, scoring ten goals.