The Algeria international has scored four goals and provided three assists in the Portuguese top-flight so far this season.
Brahimi, like Sanchez, can play in a number of different positions, including both wings and in a number 10 role behind the striker.
The Sun claims that Arsene Wenger could choose to take a punt of the 27-year-old, despite his lack of experience in a top league.
The former Rennes man has made 131 total appearances for the Portuguese giants arriving in 2014.
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