The Hammers were easily beaten 3-0 at St. James’ Park yesterday, thanks to goals from Joselu, Ciaran Clark and Aleksandar Mitrovic.
The defeat made it three losses out of three for West Ham, who sit rock bottom of the English top flight table with a goal difference of minus eight.
In truth, results have been far from impressive since their move away from Upton Park.
The fans are beginning to wonder whether they would be better of without their Croatian boss.
And Bilic himself admitted he was concerned by his team's form at his post-match conference.
He said: "I am worried. I'm not panicking. It's very early."
But how likely do the bookies think Slaven Bilic is to be the first Premier League manager sacked?
Click through the gallery above to see the Premier League sack race odds.
