While not having a shot on target themselves, Hughton's side also restricted the hosts to few opportunities before Arouna Kone scored the all-important winner with nine minutes remaining.
The defeat saw Hughton's side drop to 14th in the table, just four points above the drop zone.
Hughton is now targeting the Canaries' remaining home games - including fixtures against fellow strugglers Reading on 20th April and Aston Villa on 4th May - to glean the points they need to stay up.
He told Sky Sports: "We've got seven games to go, we've got four of them at home.
"I think for a club like ourselves that have a good home record, I think our season is always going to be based on the points that you can get and the wins - the three pointers - that you can get at home and what you're able to pick up away from home.
"But that's then. At the moment it's not a nice feeling because we're coming away from somewhere where we felt we deserved a little bit more."