Burton boss Gary Rowett had some sympathy for Bradford but felt his side deserved their 1-0 win at the Pirelli Stadium.
Bradford, who also lost two centre-backs to injury, were somewhat harshly reduced to 10 men in the 32nd minute when skipper Ricky Ravenhill was show red, a decision they plan to appeal.
But the visitors appeared likely to hang on until 10 minutes from time when Calvin Zola dived full length to head home Damien McCrory's cross and give Burton their first win in five games.
Rowett said: "We got a bit of a break and I'm sure Phil feels slightly aggrieved about it, but that's the nature of football sometimes.
"It's not easy against 10 men sometimes, but one thing I will never ever discredit my players for is their character. We kept trying to do the right things even when the fans were getting a bit impatient, but in the end I thought we just about got our rewards.
"This week we've drawn with Port Vale and beaten Bradford - two of the better teams in the division - and we've picked up four points, so I'm delighted with that."