The 35-year-old's future at the club has been clouded by uncertainty as his contract expires in the summer.
He's yet to sign a new deal, having been at the Spanish giants since 2009 following his move from Lyon.
Benzema has still not announced his decision with just one game left to play this season.
A move away from the Bernabeu could be on the cards, with bombshell reports claiming he has been offered a whopping £345 million, two-year deal by an unnamed Saudi Arabian club.
It'd match his former Real teammate Cristiano Ronaldo, who earns a reported £173 million-per-year at Al Nassr.
It's thought that the signing of Benzema would help the country's strategy of securing the 2030 World Cup. The forward could become an ambassador for the competition.
It would mean the Frenchman will have a chance of earning more money beyond the proposed two-year contract that has been tabled.
Benzema reportedly has 'one foot out of Real' and could very well wind up in the Middle East with Ronaldo.
If he calls time on his Real career, then it'd bring an end to a legendary 14-year spell at the club.
He's scored a staggering 353 goals, winning four La Liga titles, three Copa del Rey trophies and the Champions League on FIVE occasions.
Benzema starred for Real last season, scoring an impressive 44 goals in all competitions, which saw him win the prestigious Ballon d'Or award.
This season, he has 30 goals to his name, having helped his side to Copa del Rey triumph.