The opening 63-3 win over Italy was a strong start for the English but Moriarty knows that there were aspects of the game that they must improve on leading in to the clash with Australia on Friday (KO 6:35am BST).
"There were parts of the game against Italy where we were struggling to score, and to be honest we left a few tries out there. It was a tough physical game as expected.
"We've watched the Australians in a few warm-up games they've had, as well as the game they had against Argentina on Monday and they're quite similar to us in the way that they play. So we're expecting a really tough game but I really can't wait for it."
As Gloucester prepare for their 39th game of the season, against Bordeaux-Begles at Sixways on Sunday, David Humphreys told the local media that this week has been all about getting the players mentally and physically ready after a tough game against Connacht last Sunday.
Speaking to GRTV after the 40-32 victory over Connacht on Sunday, skipper Billy Twelvetrees explained that Gloucester had had to learn to be patient and cut out the errors to earn the win and progress to next weekend's final play-off against Bordeaux-Begles.
Jonny May's superb late score capped a thrilling 40-32 European play-off win over Connacht on Sunday. The winger spoke afterwards of his team's character and spirit as he looked ahead to one more week of rugby.
Speaking to GRTV this afternoon, Director of Rugby David Humphreys hailed the 'never say die' attitude of the team, after despite not being at their best, fighting back to take a 40-32 win after extra time over Connacht.
Jonny May continues on the wing on Sunday as Connacht come to town, and the England wing explains to the local media this week that he is delighted with his form and is looking forward to taking on Pat Lam's men.
Premiership Rugby have this morning confirmed the order of fixtures for the 2015/16 season, and Gloucester Rugby will start their campaign at Kingston Park, taking on Newcastle Falcons on Friday 16 October, 19:45.