L'Equipe claim Paris Saint-Germain would settle for a significantly lower fee than the £22million they paid Real Madrid for his signature 15 months ago.
The Ligue 1 leaders are looking to sell off some of their surplus players next summer in order to comply with Financial Fair Play, which has been complicated by their £198m signing of Neymar.
Jese has been largely disappointing since his arrival at the bet365 Stadium in August, scoring one goal and providing one assist in seven Premier League appearances.
The Potters forward has been dealing with off-field issues after his third child was born prematurely in the summer.
However, the mother of his son Nyan has this week accused the 24-year-old of not visiting the hospital where he was born in the past month and a half, claiming he has been spending too much time with his reggaeton pals.