The Colombia international has been restricted to just 29 appearances across all competitions.
His lack of game time means he is expected to depart the La Liga leaders at the end of the season.
Manchester United have reportedly agreed personal terms for James Rodriguez
Rodriguez has supposedly consented to join the Red Devils after agreeing terms via his agent, Jorge Mendes.
Mendes also represents United boss Jose Mourinho and his influence is proving key to the deal.
David de Gea is set to leave Manchester United for Real Madrid
The Spain international came close to joining the Champions League holders in 2015 only for a faulty fax machine to scupper the deal.
Real are confident they can sign him for £30million if Rodriguez is included as part of a dea