The match was originally scheduled to be the last ever at the famous old stadium but West Ham's progress in the FA Cup means the rearranged game against Manchester United now takes that honour on Tuesday night.
The Irons have officially enjoyed their best ever season in the Premier League era and have a positive goal difference for the first time since 1986.
They go into the game against the Welsh side looking to go within two points of fourth-placed Manchester City ahead of their match against Arsenal on Sunday.
But the omens don't look great for Bilic's men if you believe in statistics.
While Randolph has been impressive every time he has played for the Hammers this season, it is a fact that he has been between the sticks for all of West Ham's three home defeats this season.
An able but unlucky deputy?
Randolph stood in for Adrian at the beginning of the season after he was sent off and the Hammers were beaten by Leicester City and Bournemouth in back-to-back matches.
He then played in last month's FA Cup quarter-final replay against the Red Devils which West Ham lost 2-1.
Should the East Londoners lose it would all but end their hopes of Champions League qualification and dent their chances of qualifying for the Europa League too with Southampton hot on their tails.