The Canaries have now found the net just once in the past six league and FA Cup games. However, after only conceding two in that run after shipping five at Liverpool on January 19, Hughton will try to remain upbeat about his team's chances of staying clear of being dragged into the battle for survival.
"Fulham have a lot of quality in their side, but we are disappointed because we are at home and the emphasis was to look to get three points," said the Norwich manager. "We did not have enough in the final third and lacked that bit of quality, but it is a point and if you cannot win these games, you certainly have to make sure you do not lose them."
Hughton added: "It [lack of goals] is a concern, and it has to be, but we also have to look at the positives.
"We have managed to stop a poor run, albeit not with wins."
Fulham boss Martin Jol, meanwhile, had his preparations hampered by players coming back late from international duty and also a virus hitting the squad.
"Bryan Ruiz only came to us yesterday at the hotel, Stanislav Manolev was not even here, he was in London and had to come up in a cab this morning," Jol said. "Sascha Riether had to leave [with illness], Chris Baird also had the same problem with a bug, and so we had two players making their debuts.
"We lacked a bit of momentum and tempo, so we could not hurt them, especially in the first half."
Dimitar Berbatov had to go off to the changing room to have stitches in a blooded nose after being caught in the face by high boot from Norwich midfielder Bradley Johnson inside the first few minutes.
"I get very irritated by that, when someone kicks you and you have to go off for five minutes. Later Hugo [Rodallega] was also kicked and he had to go off, and they played again with 11 against 10," he said. "We have got to change that because it is an awful rule, you should send their player away as well for five minutes and play 10 against 10."