No.1 seed Berrettini, ranked No.9 in the world, has not dropped a set all week.
His impressive run has seen him defeat home hopes Andy Murray and Dan Evans, with one more Briton in the shape of Norrie left to see off in his bid for glory.
Berrettini ensured he will be in the final by claiming a 6-4 6-4 triumph over No.4 seed De Minaur in the semi-final.
The Italian dropped just four of his 36 points on first-serve and sent down eight aces, with De Minaur only able to force one break point in the entire contest, which he did not take.
"[Making the final] was the goal of the week and now I have one more step," Berrettini said.
"It is a great achievement, especially for the history of this tournament. I am really happy because to beat Alex, I had to play my best tennis."
Berrettini has four tour titles to his name, though this would be his first at ATP 500 level or above.
Victory would also represent the biggest win of Norrie's career – he has lost each of his three previous finals, all at ATP 250 level.
Norrie impressively eliminated Denis Shapovalov to reach the showpiece, beating the Canadian 7-5 6-3.
Shapovalov had earlier finished off a 6-3 6-4 quarter-final win over Frances Tiafoe, a match that could not be completed on Friday because of fading light.
But the No.2 seed could not muster up another victory against a fresher Norrie.