Kamara signed for the Canaries until May from the Major Soccer League, where he had been playing for Sporting Kansas City.
The 28-year-old Sierra Leone forward only had a couple of days training with his new team-mates before making his debut with a lively late substitute appearance in Saturday's goalless draw against Fulham at Carrow Road.
As Norwich were dumped out of the FA Cup by non-league Luton, there is no fixture until Barclays Premier League action resumes with the visit of Everton on February 23.
Kamara hopes by then, he will feel fully integrated into his new surroundings.
"It is a great time for the break, because it gives me a chance to work my way into the team and work my way in with the guys, and really try to learn a lot more," Kamara said.
"It is just the perfect situation for me and all I have got to do is just keep working hard, and that is what I always do.
"I believe that if I can show the coach that and what I can do, he is definitely going to give me my chance."
While it is difficult to gauge what lasting impact Kamara - who had an unsuccessful trial at Stoke in December - can produce on the Canaries fight to steer clear of the relegation battle below them, the signs were positive from the seven minutes or so of a debut against Fulham when his pace at least gave the visitors defence something else to think about for the closing stages of what was a drab affair at Carrow Road.
Chris Hughton also brought in Luciano Becchio from Leeds during the January window, and handed the Argentinean frontman a home debut following injury to Grant Holt.
The Norwich manager feels he has plenty of different options in attack - which are clearly needed given his side's miserly return of just one goal in the past six matches.
"Kamara is different to what we have got," said Hughton, whose team have drawn three matches in a row to stop a run of loses over Christmas.
"Becchio is somebody who needs service in and around the box. We all know what Grant (Holt) gives us inside and outside the box, while Simeon (Jackson) is a smaller, brighter player that has a little bit of pace.
"Kamara is one who has that bit of pace as well and he is very, very good in the air, but he can play in a wide position too so he gives us a good option right across the front."