Middlesbrough have struck terms with PSG for Jese.
Boro boss Aitor Karanka has been chasing Jese all month, having worked with the striker at Real Madrid.
Marca says Boro and PSG now have an agreement over a feel for the striker.
However, there remains the player's opinion, with Jese still favouring a return to Spain at Las Palmas.
Karanka hopes to persuade Jese with face-to-face talks before Tuesday's deadline.