A report in Portugal states that Celtic are ready to "move forward" for Jota as they weigh up exercising their option to buy in January.
The winger joined the Parkhead club on loan from Benfica in the summer with a €7.5m (£6.5m) buyout included in the deal.
The 22-year-old has been an instant hit under Ange Postecoglou, with two goals and three assists in eight Premiership games.
Jota has also impressed in the Europa League, with the forward scoring against Ferencvaros on Thursday after setting up two in previous group games.
That's led to calls from fans to bring him to Celtic permanently, and Portuguese newspaper A Bola reports there could be movement on that front.
Saturday's edition states that Jota has "enchanted" the Premiership runners-up who are considering "moving forward now" for the forward.
Celtic could look to take up their option in January to ensure they get their man on a permanent basis, with the youngster likely to have a big resale value almost instantly.
Speaking after that win over Ferencvaros, Jota confirmed that he's loving life at Celtic so far.
He told BT Sport: "I think that happens because of the philosophy of our game and what we build as a team.
“Today it was us but on another day it can be someone else scoring and assisting. The team was great and now we have to keep on.
“We are a new team, 12 new team-mates and we’re just starting to get to know each other.
“I think we’re getting strong and starting to be like a real family, so I think things are going well and we just have to be humble and work hard.”
