Tomori has noticed a defensive improvement already since Allegri's appointment.
Speaking from Australia ahead of their preseason friendly with Perth Glory, Tomori said: "Winning any game is a good feeling. We played well (against Liverpool), and we're happy because it's part of our preparation.
"We're happy, now we're going to Perth to play another game and finish this tour on a high note."
Regarding Allegri's impact, Tomori explained: "The coach is always clear with his instructions and what he wants from me. He's also clear with the entire team. We're more solid defensively now.
"We have the confidence to defend well because we know we have strong attackers. Our physical condition is better now than it was two weeks ago. We feel good on the pitch, and winning against Liverpool is a good thing, given that they're a very good team."