The news leaves Bruce with only one fit striker, Asamoah Gyan, for Saturday's Premier League game at Blackpool.
He finished ahead of Ivory Coast and Chelsea striker Didier Drogba and Ghana and Sunderland forward Asamoah Gyan.
Nedum Onuoha, Danny Welbeck and Asamoah Gyan were all injured in the Black Cats' 2-0 home defeat by Blackpool.
Straight after the interval Sunderland managed their first meaningful effort on goal when Asamoah Gyan blasted over from the angle.
The Black Stars started brightly and had promising spells throughout, with striker Asamoah Gyan having the majority of their best chances.
Asamoah Gyan, Darren Bent and Danny Welbeck all squandered good openings and visiting goalkeeper Richard Kingson made a number of excellent stops.
Johan Djourou needed to be alert to clear a low Jordan Henderson cross with Asamoah Gyan ready to pounce, while Phil Bardsley drilled narrowly wide from 20 yards.
The Black Stars, who are the second favorites to win the competition behind Didier Drogba's Ivory Coast side, beat Niger with goals from Asamoah Gyan, Christian Atsu and John Boye.
New Ghana coach Milovan Rajevac will put squad captain Stephen Appiah on the bench, but must do without injured striker Asamoah Gyan for a Group 5 showdown with fellow leaders Libya in Tripoli.
Ghana, who qualified for the World Cup Finals in South Africa with a 2-0 win over Sudan last Sunday, took a two-goal lead thanks to a brace from Asamoah Gyan before Kengo Najamura pulled one back.
Sunderland did occasionally threaten and they almost equalised after 28 minutes when Reid collected a return pass from Asamoah Gyan before shooting narrowly wide of the goal protected by Stuart Nelson, who bizarrely also played for Brentford when they beat the Black Cats.
The one moment they relied on a bit of luck was when Asamoah Gyan and Danny Welbeck combined beautifully down the left before Welbeck swung in a delicious ball across the area, which Kieran Richardson only just failed to get a toe to.
Asamoah Gyan regained the lead for Sunderland after the break, but the visitors sat back and finally buckled under a barrage of long throws and set-pieces, as two Jermaine Pennant free-kicks set up Huth to score twice in the last seven minutes and seal a remarkable recovery.
Bruce has fellow strikers Asamoah Gyan and on-loan Danny Welbeck, who is currently injured, to call on and, although they have eased the reliance on Bent with 14 goals between them this season, they will have to prove they have the consistency to ease the impact of his departure.
The threat from the Gyan brothers came just a day after Asamoah, who plays his club football for Udinese in Italy's Serie A, made an emotional appeal to fans of the Black Stars over Thursday's taunts.
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