That came off the back of a hard-earned point in a 2-2 draw with Liverpool at Anfield last weekend.
West Ham United's Mark Noble scores against Burnley
It lifted Bilic's men up to 15th in the Premier League table with another home game against Hull City on the horizon on Saturday.
The Hammers went into the game just one place and one point off the bottom three so a win was all that mattered.
And speaking on BBC's Match of the Day last night, ex Manchester United and England man Phil Neville said he thinks West Ham have turned a corner in their torrid season.
"West Ham's season has turned around I think," Neville told Match of the Day.
Television pundit and former footballer Phil Neville
"I think I've seen better performances from them in the last couple of games, they get a little bit of luck, they're playing with more spirit and they've got a couple of really good fixtures coming up where they can make inroads into climbing up the league."
With Hull next up to visit London Stadium on Saturday, the East Londoners have every chance to prove Neville right.
A win could take them as high as 13th, just four points off the top seven - which would mark some turnaround from where the club found itself just a fortnight ago following back-to-back 4-1 and 5-1 defeats to Manchester United and Arsenal respectively.
It is no coincidence that players returning from injury have resulted in much improved performances from the Hammers.
That said the club should still be looking to bring in one or two players in the January transfer window, with a striker and a right back the key areas that need addressing.