The game's opening goal came on 27 minutes as the on-loan Juventus man profited from a defensive mix-up. Chievo defender Mattia Bani and goalkeeper Stefano Sorrentino got in each other's way and Bani headed the ball to Suso, who picked out Higuain to score.
And the two combined again seven minutes later to double the hosts' advantage.
Suso opened up the Chievo defence with an inch-perfect through ball and Higuain found himself in acres of space, and he was never going to miss.
It was more of the same after the break and Giacomo Bonaventura made it 3-0 with a neat effort from the edge of the box, capping his 150th appearance for Milan in style.