There is currently a host of speculation surrounding the 36-year-old's future, with Manchester United first credited with an interest in his services last weekend.
A report claimed that the Red Devils were lining up a loan offer for the experienced striker, although it is believed that the club are unlikely to move for him before the end of the month.
Arsenal and Chelsea have also been credited with an interest, as both clubs are keen to boost their attacking department before the January transfer window closes for business.
According to the London Evening Standard, Benzema has indicated that he would be willing to leave Al-Ittihad during the winter market, and he is open to a move to the Premier League.
However, the ex-Real Madrid forward is believed to be on £88m a year at Al-Ittihad, and the Saudi Pro League outfit are not expected to let him leave on loan unless the majority of his salary is covered.
A deal for Benzema this month is therefore unlikely to make financial sense for either Arsenal or Chelsea, while Al-Ittihad are not believed to be willing to consider a permanent exit.
The Frenchman had been expected to sign a new deal at Real Madrid last summer, so it came as a surprise when he decided to leave on a free transfer to continue his career in Saudi Arabia.
Benzema scored 31 times for Los Blancos during the 2022-23 campaign, and he has managed 12 goals and five assists in 20 appearances for Al-Ittihad since his arrival.
The reigning Saudi Pro League champions have found it difficult this season, though, only picking up 28 points
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