The Australian missed his country's World Cup qualifier due to the problem.
The 31-year-old missed Australia's World Cup qualifier against a Harry Redknapp-led Jordan side due to a thigh strain, and now the Evening Standard suggests that the problem could keep him out of the Eagles' trip to the Boleyn Ground.
If the holding midfielder was to miss the game against the Hammers, it would be a big blow to Alan Pardew's men's chances of coming away with a positive result.
Palace go into the game having not won in any of their last 13 games in the Premier League, and while they currently have plenty of daylight between themselves and the bottom three, results going against them over the weekend could mean that the nerves start to build that little bit more.
And they certainly could have done with Jedinak's presence in the game. Slaven Bilic's men have been hugely impressive going forward, so Pardew may have hoped to use his captain to provide the defence with more support.