Bilic's side are unbeaten in seven and entertain a Wolves side sat 11th in the Championship.
Kenny Jackett's men are bang in form and have won their last three matches so will provide a stern test for the East Londoners.
Bilic has endured one of the worst injury lists in the top flight over Christmas losing seven of his first team starting XI all at the same time.
But players are slowly returning and although key playmaker Manuel Lanzini suffered a recurrence of the injury which kept him out for over a month against Liverpool, star man Dimitri Payet is back in action.
But what changes does Bilic need to make to the side which saw off Liverpool?
A crucial fact which will surely come into the former Croatia manager's thinking is that the Hammers are facing up to a three-game week with a trip to Bournemouth looming on Tuesday night.
Payet in for Lanzini
Not a bad replacement for an enforced change is it? Payet has been one of the signings of the season so far with five goals and countless more assists in his 13 games so far for the Hammers.
Lanzini has been equally important to West Ham but Payet should come into the side in a game which will give him much needed minutes after his two month lay-off with an ankle injury.
West Ham are comfortable in the league and have nothing to lose in the cups this year so Payet should be used as the Hammer really attack the competition, something they did not do in the four years under Sam Allardyce.
Jenkinson in for Tomkins
Carl Jenkinson has been a shadow of the player which came close to winning West Ham's Hammer of the Year last season.
The on loan Arsenal full back looks nervy and has been replaced in Bilic's starting XI by centre back Tomkins playing - superbly it must be said - out of position at right back.
The Hammers are much tougher to beat with Tomkins in the team but this could be the perfect time to give him a rest given he played on through a bad eye injury recently and has played a long succession of matches.
It may also give Jenkinson the opportunity to try and rediscover the form that saw him handed a new four-year deal by the Gunners and come close to an England call-up.
Song in for Kouyate
Kouyate is one of West Ham's most important players but he has played nearly every game this season and this is the perfect opportunity to give him a well earned rest without damaging the side's prospects too much.
It also gives Alex Song, who set up both goals in the Development Squad's 2-0 win over Brighton in midweek, some much needed minutes.
The Barcelona loan star is striving to rediscover his best form which would be hugely beneficial to West Ham's push for Europe and he will only be able to do that if he gets competitive minutes under his belt.
Zarate in for Valencia
Again Valencia is crucial to West Ham's success, especially at home, but having just recently returned from four months out and being thrust straight back into the action over the festive period now may be a good time to rest him.
Even when Valencia isn't on top for or scoring his pace means that opposition defences cannot push up the pitch.
As a result West Ham's superb midfield players like Payet are much more involved in an attacking sense as is Andy Carroll.
But against a side from a lower division West Ham should have enough quality to see them off if Valencia is given a rest. Zarate would also get the chance to prove he is worth keeping with speculation rife that he could be sold in the January transfer window, as reported by talkSPORT.