Milik has refused to extend his contract at Napoli and is set to leave this summer.
And of the names being considered by Juventus, the Pole is their first choice to replace Gonzalo Higuain.
Personal terms will not be a problem after the two parties found an understanding.
But Juve must now strike an agreement with Napoli for the 26-year-old marksman.
Napoli have shown an interest in acquiring Federico Bernardeschi as part of the deal, but would have to negotiate his image rights.
Napoli will seek a €40m to €50m transfer fee for Milik, despite his contract entering its final year.