Boga joined Juve in January on-loan from Nice and has made an instant impact with the Bianconeri.
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The Ivory Coast international, playing as a wing-back, has scored twice in just seven appearances for Juve so far.
La Gazzetta dello Sport says such form already has Juve chiefs preparing to sign Boga outright.
The former Chelsea youth teamer joined Juve on a free loan to June with an option to buy for €4.8m.