They face a tough trip to title hopefuls Liverpool knowing they must start turning the corner or risk being in real danger.
Fingers are being pointed in all directions including two high-profile ones at captain Mark Noble this week.
Former Hammers manager Harry Redknapp and ex-West Ham defender Igor Stimac - both allies of Bilic - called out Noble to start doing his job as captain properly.
West Ham United skipper Mark Noble
It comes after Bilic publicly questioned the intensity of his players in both training and games following embarrassing consecutive 4-1 and 5-1 defeats to Manchester United and Arsenal respectively.
Now homegrown Hammer Noble - who some West Ham fans feel is no longer good enough to warrant a place in the team - seems to have reacted to being called out by Redknapp and Stimac with a message to his teammates on the club's official website.
"We know it’s going to be a tough game but we’ve got to try our best," Noble told whufc.com.
"Hopefully we can go there and get a result at the weekend because we need something to change for us at the minute and hopefully that can be it.
"That sort of performance which we put in at Liverpool last season has to be the blueprint for every game, because you can’t pick and choose when you want to play. The really successful teams manage to get up for it every week and that’s what we need to do."
Noble's comments will resonate with Hammers fans who feel the players simply have not worked anything like as hard this season as they were last term.
Dimitri Payet looks dejected
It also shows that the captain himself feels he and his teammates are not giving their all in every game with his comments about picking and choosing when to play.
Failure to do that at Anfield could well see another big defeat. A positive result, however, could be just the tonic to turn West Ham's season around.
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