The Eagles are advanced in their move for the Algeria international, but are yet to close a deal.
Representatives from the Craven Cottage club have been in touch with the player's advisors for an update on the status of Benrahma's protracted move to Palace, with a view to launching their own swoop.
Brentford value Benrahma close to £20million - a fee a number of clubs have been reluctant to meet.
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