Berahino netted his first league goal since October, just 24 hours after his public apology over a controversial tweet saying he would never again play for chairman Jeremy Peace following Albion's rejection of transfer bids for him in January.
The striker's handsome volley on the half-hour came after two early goals from Craig Gardner and Craig Dawson as Albion threatened to run riot with a three-goal lead at halftime.
Yet Wickham took advantage of slack defending to narrow the deficit just after the break and then smashed home a thunderous volley 10 minutes from time as Albion were forced to hold on in a thrilling contest at The Hawthorns.
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After being hit by a coin thrown by his own fans following Albion's fifth-round Cup defeat to second-tier Reading, Chris Brunt's week got worse when he went off on a stretcher with an apparent knee injury after a tussle for the ball with Wilfried Zaha.
(Reporting by Ian Chadband; editing by Ken Ferris)
