Ryan Bennett's late goal won the three points for the Canaries and while Steve Bruce was left to bemoan the nature of the costly strike, he reserved praise for Nikica Jelavic
Ryan Bennett nodded home a Robert Snodgrass corner with three minutes of normal time remaining at Carrow Road to move Norwich five points clear of the bottom three.
The win was Norwich's first in 10 games in all competitions, but they made it hard for themselves with a wastefulness in front of goal.
Just three of their 23 attempts at Allan McGregor's goal were on target, but the ex-Newcastle United boss was delighted to seal a precious win.
"We are talking about small margins and big wins," Hughton said. "These three points become even bigger.
"You are then looking at the results of other sides, which is something you shouldn't do, really. The tighter it gets, the wins get bigger.
"These are big wins. We will enjoy it today as we have a big game coming up."
Steve Bruce, meanwhile was left to lament a poor second 45 that saw the Tigers fall victim to the late goal.
Bruce said: "Overall, second half we were disappointed in the way we handled the ball. When you do that and don't play as well as you'd like to, to come away with a point would have been terrific, however. it wasn't to be."
The closest Hull came was when Jelavic, signed in the week from Everton, struck the post in the second minute, a miss that left Bruce to further lament his side's luck.
"He's done everything right," he said.
"His connection is right, it's on his left foot and he's struck it really, really well and I'm expecting it to nestle in the back of the net.
"But it's hit the post and missed by two inches, so on another day it would have nestled into the net and what a start that would have been for the lad."