The Hammers are enjoying a fantastic season and will go above Manchester City into the Champions League places on 52 points - level with Arsenal - if they come away with three points from Stamford Bridge.
No matter what temporary boss Guus Hiddink says, Chelsea's season was all but ended when they crashed out of the FA Cup to Everton last time out.
Stamford Bridge has not been a happy hunting ground for the Irons over the years, though.
But with the hosts missing suspended star striker Diego Costa after his sending off in the FA Cup against Everton it represents a real chance for Bilic's high fliers.
So what changes does the former Croatia boss need to make to the side which started at Old Trafford for the trip across to West London?
Adrian in for Randolph
Darren Randolph is firmly ensconced as West Ham's reliable number two.
He has been given a run in the cup competitions by Bilic all season and has never let the club down.
But number one Adrian has been vital to his side's success this season and will come back into the side for this big London derby.
Byram to replace Antonio at right back
Sam Byram has endured a frustrating start to life at West Ham since his move from Leeds.
Making his surprise debut against Manchester City the young Englishman then had to sit out the next game through injury while also missing out on the club's FA Cup run after being cup-tied while still at Elland Road.
He has impressed every time he has played, though, and will be available to replace Michail Antonio who has performed admirably as an emergency right back in recent weeks. That will free Antonio up to move back into his usual midfield position where he has proved so deadly in the last couple of months.
Valencia in for Emenike
Enner Valencia returned from his latest injury lay-off as a late sub at Old Trafford last time out.
The pacy Ecuadorian was in fine form with a number of goals and assists before his recent injury and is so important to West Ham's counter attacking game away from home.
Nigerian Emenike has worked hard since joining on loan but does not offer the goal threat needed at Premier League level and should make way for Valencia for this one.
Sakho in for Carroll
Andy Carroll was excellent in the draw at Old Trafford. In fact Bilic may well have cost the Hammers the win up there after bringing the big striker off with 15 minutes left to play when he had been doing so much good work at both ends of the pitch.
But Diafra Sakho is West Ham's main striker and after being eased back into action in the last two games after a three-month injury lay-off he looks certain to start at Chelsea.
Carroll has been so effective as a second half impact sub this season including in the 2-1 win over the Blues at Upton Park in the reverse fixture where he got the winner.