Two unnamed clubs are said to be preparing bids for West Ham duo Diafra Sakho and Morgan Amalfitano.
Manager Slaven Bilic has built up a bulky squad this summer in preparation for a Europa League assault, and to lose the two would be a setback to his plans.
With Andy Carroll injured until October, losing Sakho would leave Bilic with only Enner Valencia and forgotten man Modibo Maiga to choose from up front.
Attempting to quash rumours regarding Sakho, who is said to be a target for Newcastle and Manchester United, West Ham chairman David Gold tweeted that the club had “no plans to sell him”.
Although Amalfitano was in and out of the team under Sam Allardyce, Bilic will have liked what he has seen so far from the former West Brom midfielder, who impressed in the manager’s first match in charge against Birkirkara.