Gazzetta dello Sport says Juve directors have spoken with Pogba's agent, Mino Raiola, and directly to the player, himself, about a January deal.
While both parties understand it will be difficult, there is a determination on both sides to try to make a midseason deal work.
Pogba again flirted with Juve and Barcelona in an interview on the weekend, despite anger from fans over his comments.
Pogba also said: "Today I am under contract. I heard a lot about it, and there were some little things with the coach. The relationship is always the same, he's the coach and I'm the player.
"We have goals in common, we want to win, and that's the most important."