And, as the high-flying hitman completed a wonder weekend by being recalled to the Scotland squad as a replacement for Robert Snodgrass, he predicted it's a strike-rate he is well placed to maintain.
He said: "It's been a great start for me at Celtic, and I believe I can keep this up. I proved it at Hibs where I scored near enough a goal every one or two games. So if I can keep that up until the end of the season, I will be more than happy."
Griffiths also took the corner from which Charlie Mulgrew scored Celtic's second against Caley Thistle - all of which impressed watching Scotland team boss, Gordon Strachan, who handed the striker an instant call-up for Scotland's friendly against Poland on Wednesday
But it is his ability to score goals which persuaded Neil Lennon to bring him north from Wolves as the January window closed.
And he is already repaying the manager's faith in spades.
He already had 13 for the season before he moved to Parkhead, all scored for Wolves before his determination to make the move back to Scotland saw him dropped from the Molineux side.
But he is convinced that, with the kind of service he is receiving from his new team-mates, there is every reason to believe he can enjoy a goal-den period in a much-travelled career.
And Griffiths knows the ammunition will provided - as is it was against Inverness - and said: "The chances you get here are incredible.
"You saw that on Saturday. I had enough chances to score five or six goals in that game.
"But, in the end, I was happy to get my first-ever hat-trick in the league and take home the match ball."
That will be added to a growing trophy collection, which Griffiths hopes will see even more additions before this season is over.
He said: "Everything goes in my cabinet for my kids to see.
"I got the match ball when I scored a hat-trick for Hibs in last season's Scottish Cup quarter-final at Kilmarnock.
"The ball from Saturday will be sit nicely beside it."
But that will have to wait until Griffiths gets back from international duty in Poland.
And, after the whirlwind first few weeks of his time as a Celt, he is looking forward to having a few days off next weekend.
"It will be good for us all to get a break, and let the boys freshen up," he said.
"There are a few of us away on international duty, and when we get back we will have a good rest and be ready to report back next Monday to prepare for the game at Kilmarnock."