Diario Gol says several senior players, including captain Sergio Ramos, has been angered by Benzema's behaviour as the club has lurched from poor result to poor result.
Ramos, particularly, was furious with Benzema after their elimination by Leganes in the Copa del Rey. In the aftermath, Ramos was close to tears as he led a dressing room inquest into the result.
However, that evening Benzema was reportedly seen out with friends dining and laughing - news that has left many inside the locker room unimpressed.
Real dropped two more points on Saturday drawing 2-2 with Levante.