Benzema has endured a difficult campaign at Real Madrid.
The former Lyon star has managed just nine La Liga goals all season.
His inconsistent form has led to calls for him to be dropped, with fans desperate to see Alvaro Morata given more game time.
Karim Benzema will reportedly be sold by Real Madrid this summer Real Madrid wages revealed: Which stars earn most? Fri, March 24, 2017
Click to reveal every Real Madrid player's weekly wages, according to Totalsportek.com
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Click to reveal every Real Madrid player's weekly wages
Ronaldo himself has been a far cry from his usual self with his goal tally of 28 his lowest for seven years.
As a result, Real are making plans to use him in the No 9 position next season.
Cristiano Ronaldo will be deployed in the No 9 position next season
His finishing remains intact but his impact on the flanks has diminished.
Should Benzema leave, Madrid are likely to shell out on a replacement.
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Chelsea's Eden Hazard, Monaco's Kylian Mbappe and Juventus' Paulo Dybala have all been linked.