The Moroccan international, who has netted 15 times for his country, has been linked with a move to the Premier League throughout the close-season.
His 13 goals last term helped secure a first league title in 10 years for les Girondins, but Chamakh has made no secret of his desire to leave the Stade Chaban Delmas.
He has previously claimed to have agreed terms with Sunderland, Fulham, Blackburn Rovers and Tottenham Hotspur, with Arsenal - his preferred destination - seeing a £5 million bid turned down by Bordeaux and refusing to increase their bid.
And after French daily L'Equipe reported that the Hammers were hoping to benefit from Arsenal's hesitancy and add the front-man to their ranks, the same publication has claimed that Roy Hodgson's Cottagers are plotting a similar strategy.
According to the report, the West Londoners will also offer French striker Diomansy Kamara to Bordeaux in part-exchange, with Laurent Blanc's side keen on acquiring a suitable replacement for Chamakh as soon as possible, should he move on.
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