"It's not a done deal, but it's well on the way. When we return to Madrid we'll know more about it," Zidane said at a news conference in New Jersey on Tuesday, on the eve of Real's final US pre-season friendly against Bayern Munich.

"They're a major club and I hope that if all goes well, he returns to Real Madrid, which is home for him. It may perhaps be for a year, after which he'll return home. 

"I think that it's an ideal club for him because they're a good team and he'll get lots of goals there," he added.

However, French media have reported PSG could look to sign the 23-year-old on a five-year deal in a transfer worth around 25 million euros, contrary to Zidane's wishes.

Last week, PSG coach Unai Emery indicated a move for Jese was "a possibility" as the French champions look to draft in support for Edinson Cavani up front following the departure of Zlatan Ibrahimovic to Manchester United.