The Galatasaray striker is looking increasingly close to an exit from Turkish football.
The Galatasaray man has reportedly been the subject of bids from The Hammers, but so far no agreement has come about.
Now the player and his agent have both commented on a potential Istanbul exit.
He is quoted by Eurosport as stating he will not be insisting on a move but admitted he could depart:
“If I am bought I could go to West Ham but I would never make a declaration that I want to leave. Would be unfair in front of our fans.”
His agent Bayram Dagdeviren also mentioned the asking price West Ham will need to meet to sign the player:
"Burak Yilmaz wants to leave and if 9 million euros (£6.6 million) is bid, we will approve the sale."
That price of £6.6 million might prove to be a little bit more than West Ham are willing to pay but it would certainly fix something of a problem position.
Injuries to Enner Valencia and Andy Carroll leave them short up top. Diafra Sakho has some off-field problems at the moment whilst Modibo Maiga looks to be on his way out of the club.
With that in mind a proven goalscorer like Yilmaz for a cut-price fee of £6.6 million seems to be a no-brainer.