It's been suggested new Benfica coach Jose Mourinho has recommended Benzema's signing in January to the club's board.
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And the former Real Madrid striker, with his contract expiring at the end of the Saudi Pro League season, is keen on the move.
Marca says Benzema and Mourinho have hadd a phone call in recent days where the coach confirmed his interest.
Al-Ittihad is ready to sell Benzema for €5-7m in January.
It has also been reported that clubs in Ligue 1 and Major League Soccer are showing interest in Benzema.