Hooker Duffey made his first Guinness Premiership appearance as he started the game in the front row alongside experienced props Boris Stankovich and Martin Castrogiovanni, while Argentina international Amorosino earned his first taste of professional club rugby as a 42nd-minute replacement.
"I thought they both did really well,” said Cockerill after a Lewis Moody try and 14 points from fly-half Jeremy Staunton had sealed a 19-14 victory.
“The windy conditions can make it very difficult for a hooker but I was really pleased for Joe. He has had to wait for his opportunity and we have waited for him to earn it, but he scrummaged well, he did a lot of hard work and he did not look out of place.
“The experience will be good for him and he will take confidence from it.”
Amorosino slotted in on the left wing and provided a couple of good attacking runs as Tigers had to come from 13-14 down midway through the second half to cement a third win of the season.
“He showed some good bits of skill,” said Cockerill. “He is a good player, we saw there was a bit of magic there. You put him in because of the injuries but he did some good things and he has played Test rugby so he is not that raw.
“I know from my time in France what it is like trying to learn things in a new language and you have to get it so it becomes second nature. That will take time, but he will have learned from this game and we saw glimpses of something quite special.”
Defending champions Tigers sit fifth in the Guinness Premiership table as clubs head into the opening two rounds of European competition and Cockerill said: “I thought we played quite well and there were some good parts in the performance. We are in the top five and go into Europe with everything to play for.”
Worcester Warriors director of rugby Mike Ruddock identified the Moody try eight minutes before half-time as the vital score.
“We had the wind behind us in the first half and we needed to be ahead at half-time,” said Ruddock. “But they scored a try with a driving maul and in the end that was the crucial score against the wind.”