A week and a half after their last match, City return to action on Wednesday against Cambridge at the Northern Commercials Stadium looking to net an extra £20,000 in prize money and a place in the last sixteen.
Black was in the stands on Sunday to see Cambridge's impressive 4-0 victory over Coventry City in the Emirates FA Cup.
The result was Cambridge's third win in succession in league and cup.
Wednesday's match will be City's fourth encounter this season against League 2 opponents following cup defeats against Morecambe and Accrington Stanley, leading the Bantams to exercise extra caution when it comes to the Cambridge tie.
Black said: "We've had to wait a while to respond to the defeat at Swindon last time out so the players are ready to go again.
"We knew with the format of this competition that finishing top of the group would give us a home tie so we want to make the most of our home advantage.
"This is a competition that we have tried to do well in from day one but this match does take on more importance for us following first round defeats in the EFL Cup and FA Cup.
"We have an opportunity to progress further in this competition come Wednesday and see where that takes us.
"Cambridge had a really good result on Sunday, we are certainly mindful of that going into this game.
"We are also aware that we have already lost to League 2 sides in cup ties this season so we know we will have to be at our best.
"We don't want to suffer the same fate as we have in those previous games.
"I was very impressed with Cambridge (on Sunday). They looked very determined and committed with ability in their team.
"Luke Berry obviously caught the eye with his four goals but we know they have other threats in their side.
"With home advantage and the players we will have in our side though, we are confident we can put in a performance worthy of progression.
"Any players coming into the side on Wednesday night will be keen to put down a marker ahead of the Christmas period."