After the game, Sam Allardyce claimed that Brady had dived to win the penalty, but Bruce insists that this was not the case.
"The big decisions have gone our way, but we had some injuries and showed terrific attitude to get the win," Bruce told BBC Sport.
"Sam Allardyce can rightly feel aggrieved about the penalty, it looked like a soft one. I wouldn't call it simulation, but I'll have to wait until I see it again."
Hull are now level on points with Liverpool and Manchester City in the Premier League table.