The Tigers scraped through 7-6 on penalties after their first-round clash ended in a 1-1 draw and Bruce is looking for a marked improvement.
"What I learned from Saturday is that there's still a lot of work to be done," Bruce told the club's official website.
"We can't go into a game like on Saturday and miss seven or eight chances, but overall we got through and we're in the next round of the cup.
"The big disappointment in pre-season has been that too many players have picked up niggly injuries and missed two or three weeks. At this stage, it's catch-up time but we'll be ok."