The 29-year-old is out of contract in the summer and will leave the Turin giants, with a switch to the Nerazzurri on the cards.
Inter are ready to offer the player a three-year contract that will be worth €3.5 million net per year.
Recent years have been tough for Asamoah, but he has earned more game time this season, featuring 24 times for Juve on the left side of the pitch.
Indeed, it has been the former Udinese man’s fine recent form that attracted the attention of Inter, who believe that he can impress under Luciano Spalletti.
Juventus are already looking at replacements for Asamoah. To that end, they have pinpointed Leonardo Spinazzola, who will return after a two-year loan with Atalanta.