Newcastle are understood to be keeping tabs on the 28-year-old having missed out on several of their summer transfer targets.
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Recent reports have suggested that Wissa is pushing to make the move happen, with Fabrizio Romano confirming he has been left out of their squad to face Borussia Mönchengladbach.
Wissa played a key role for Brentford as they secured a tenth placed Premier League finish last season, scoring 19 league goals.
The striker is one of Eddie Howe’s targets with the future of star man Alexander Isak still up in the air.