Hughton accepts Kamara needs more match fitness, having only trained with his new team-mates for a few days after his midweek arrival from the United States.
"I don't think it is far off. By the next game I should definitely be in shape," said Kamara, who has headed off with the rest of the Norwich squad for some warm-weather training in Abu Dhabi as they have no match for a fortnight.
"It is about working hard from now and making it a regular thing.
"I am a man who can score some goals, but it is also about work-rate - when you come into a team like this and see people working so hard, if you can work as hard as them then the goals come easily."