David Sullivan admits West Ham may struggle to retain the services of Matthew Upson this summer.
The Hammers have tabled a new three-year contract to the England international, but he is yet to put pen to paper.
He is keen to keep his options open until after this summer's World Cup, with Tottenham Hotspur and Manchester City reported to have expressed an interest.
West Ham co-owner Sullivan accepts that every player must want to better themselves at all times and is well aware of the mounting interest from afar.
He insists that no deal has been agreed as yet, though, and has called on those waiting in the wings to make their move so the distracting saga can be laid to rest.
"We keep hearing the agent may have done a deal with a bigger club," Sullivan said in the Daily Mail.
"I can't say who but I wish they'd get on and make an offer. We've had offers from lesser clubs who he probably wouldn't go to.
"He probably fancies one last throw of the dice at a big club. I wish Matthew well."