The Spaniard has found life at the bet365 Stadium tough in recent months having made the surprise decision to move from Paris Saint-Germain to the Potters during the summer.
The 24-year-old has made just two substitute appearances since Stoke's loss to Bournemouth in October and was reportedly unhappy he didn't even get on the field in last Saturday's win over Swansea.
Off-field problems have also not helped Jese settle in at Stoke, the forward having flown back and forth to Spain to be with his son, who remains in hospital after a premature birth.
Reports in Spain now claim that the former Real Madrid man will end his loan stint at Stoke in January with Real Betis eager to bring him back to La Liga as they seek attacking reinforcements.
Potters boss Mark Hughes is likely to be reluctant to let Jese leave given he already feels short of attacking options and is looking to add a new striker in the winter transfer window.