West Ham United look set to table a £30m bid for the marksman.
According to The Mirror in April, Spurs were 'almost certain' to sign the Frenchman - who has netted 48 league goals over the past two seasons with Lyon - but their interest seems to have cooled in recent months.
The Mirror now claim that Bilic will lodge a £30 million bid as the Irons chase a prolific goalscorer to help them kick on in the Premier League next season.
West Ham need a heavy goalscorer more than Tottenham, with Harry Kane netting 25 times in the Premier League last term to scoop the Golden Boot.
Andy Carroll and Diafra Sakho - who is expected to leave West Ham - are Bilic's only out-and-out strikers and neither are going to score enough goals to propel the Irons to a new footing in English football.