The Blades will be looking to extend their good run of form, having won their last three games.
It remains an unknown as to who Bruce may select for his maiden voyage as Albion boss.
However, he'll be unable to count upon Dara O'Shea, with this one likely to come too soon in the Republic of Ireland international's road to recovery.
The 22-year-old has been playing for the under-23's of late and could return next Monday against Blackburn Rovers.
Sam Johnstone should be back after a reported spat with former boss Valerien Ismael, it's likely that the new man in charge will bring the goalkeeper back into the XI.
Kyle Bartley is also a doubt with illness, along with Matt Phillips who picked up a knock in training.
(4-2-3-1) Johnstone, Townsend, Kipre, Clarke, Furlong, Livermore, Mowatt, Grant, Gardner-Hickman, Diangana, Carroll
(3-5-2) Foderingham, Davies, Egan, Basham, Norrington-Davies, Fleck, Berge, Norwood, Bogle, Sharp, N'Diaye
His new manager 'bounce' record tends to be quite successful with him getting a good reaction in the dressing room and leading to instant flurries of form.
Ones to watch
Joining with plenty of promise after his free transfer from Barnsley in the summer, it's fair to say that like the manager that he joined alongside, his season has been underwhelming.
The midfielder has been treating being in possession like playing a game of hot potato, and with several glimpses of his technical quality, Bruce should be able to convince him to show that more frequency.
A veteran of EFL Championship football and currently the top second-tier scorer of all time, Sharp is likely to cause a serious threat to the Baggies’ defence.
He's United's top scorer so far this season and will be aiming to add to his goal tally for the campaign this Wednesday.
How to watch/kick-off time
Audio coverage will be available for those in the UK and Ireland via WBATV and iFollow. There'll also be a stream available for overseas viewers along with coverage via Sky Sports Red Button for subscription holders. Kick-off on Wednesday is set for 19:45 GMT.