Striker Robbie had to be withdrawn at half-time in the 1-0 win against Bolton at the Lane after twisting his ankle early in the game.
Head Coach Martin said on Tuesday: "Robbie is a very good healer but normally you would be out for two or three weeks. He will do everything to be there on Sunday but itÃ¢â‚¬â„¢s a problem and thatÃ¢â‚¬â„¢s a blow."
Full-back Paul is another big doubt with a minor knee ligament injury while midfielder Michael has a slight calf problem.
Martin added: "Paul StalteriÃ¢â‚¬â„¢s is maybe not the worst injury but normally you would be out for a couple of weeks and heÃ¢â‚¬â„¢s struggling.
"Michael Carrick has a slight problem but we've still got five days to go so hopefully one or two will be fit again.
"We have been a bit unlucky but I think we are strong enough. Andy Reid came on against Bolton and did well, Tom Huddlestone and Calum Davenport have done well. Edgar Davids will also be back.Ã¢â‚¬Â
Ledley King (broken fourth metatarsal, left foot) and Jermaine Jenas (shin) remain out and Mido (knee) is also a doubt.
Paul Stalteri and Michael Carrick are the latest injury concerns for Martin Jol in addition to Robbie Keane looking a major doubt for West Ham on Sunday.