The striker is the subject of intense interest from Newcastle, Nottingham Forest and Tottenham. However, Brentford are reluctant to sell.
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But BBC Sport says Wissa, 28, wants the chance to speak with interested clubs and consider his future this summer.
Brentford are reluctant to lose Wissa as they prepare to sell Bryan Mbeumo to Manchester United this summer.
Wissa has less than 12 months to run on his current deal.