He is coming under increasing scrutiny with five straight defeats leaving fresh question marks over his future. And that pressure will go up another notch if the Hammers lose at home to Swansea tomorrow.
West Ham have leaked 13 goals in their miserable losing sequence to be dragged into trouble and Bilic said: “We are conceding way too many goals, not just in the last five games. We either get a clean sheet or we concede more than two goals or even three goals.
“Against Arsenal in our last game [3-0 defeat] we crumbled after the first goal. We were solid, then conceded a goal and that happens.
“We have changed the system a lot of times this season. There is not a lot of time to try them. But we are thinking about that.”
Slaven Bilic insists West Ham will not go down
West Ham have conceded 13 goals in their last five games
Not even the £8million arrival of Southampton skipper Jose Fonte in January has helped shore up a leaky defence in a season that has fallen flat.
And Bilic said: “It’s not do-or-die but it’s a serious situation. The expectations this season have to been to make a big step up but suddenly we are in a situation where we need points.
“I’ve seen bigger clubs in trouble and then when they stay up they celebrate like hell. But we are not going down.”
Swansea will no doubt believe the same thing of themselves and it is little wonder that Martin Olsson wants to crank up the pressure on Bilic tomorrow.
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“West Ham are not playing as well as they can at home so that will make a difference,” said the defender. “Upton Park was a really tough place to go and they have not collected points like they did last season.
“It will be tough but I’m confident we can get a result if we work hard. We have to go to West Ham and go for the win.”
Swansea dropped back into the relegation zone after their last-gasp defeat by Tottenham on Wednesday – they were leading 1-0 until the 88th minute before goals from Dele Alli, Heung-Min Son and Christian Eriksen.
They have the Premier League’s leakiest defence, shipping 66 goals this term. Teams to concede that total at this stage have all been relegated.
But Swansea will be boosted by the return of top scorer Fernando Llorente, who has missed the last two games with an ankle injury.
“Fernando gives us a different kind of game,” added Olsson. “We like to cross the ball and he likes that service so it will be a big bonus.
“One result can flip the momentum and change how the table looks. This has not been a good run, but West Ham are on a bad one too, so we have a big chance to go and get something.”
Swansea head coach Paul Clement has a selection dilemma ahead of the West Ham clash. Right-backs Kyle Naughton and Angel Rangel are injured so midfielder Leroy Fer could fill the void.