Skipper Jerome Kaino has picked up where he left off last season, when he won the New Zealand Super Rugby player of the year award. His six turnovers for the season are bettered only by Liam Gill's nine.
"As a unit they are going pretty well," Moore said. "The set piece is going well, but I still think there is a bit left in us yet."
The other thing the former Highlanders assistant coach is at pains to point out is that there is no frustration being aimed at the backs, despite the front-foot ball they are getting.
Charles Piutau has been virtually their sole attacking threat - his 14 defenders beaten the best in the competition, ahead of the Hurricanes' blockbusting wing Julian Savea with 12.
"We're all aware that we are creating opportunities and we've just got to convert those, that's all there is to it," said Moore, who is relishing working with the likes of Tuipulotu, Faumuina and Kaino.
"They're skilful men, with plenty of power. It's a good group, they're willing to try new things and they're working damn hard for each other and that's something we're focusing on here."
Moore, from Ashburton, spent five years with the Highlanders before coaching Mid Canterbury, and said he was enjoying his new role thoroughly. He is in the first year of a two-year deal.
Kaino (100 matches for the Blues reached last weekend) and Keven Mealamu (a record-breaking 163rd Super Rugby match) will be honoured before and after the Lions match at North Harbour tomorrow, and Moore said the pair would play a part in the team's motivation.
"First and foremost everyone wants to win because the team needs a win, but everyone is very conscious of those two guys. They're rugby icons and have a lot of history here and are certainly inspirational to the team. There will be a lot of extra fight coming out for them but we've got to make sure we're focused on the task and that's to win the game."