The striker initially suffered the injury in last weekend's win at Udinese, a game in which Higuain was withdrawn in the first half.
The Argentina international is on loan at Milan from Juventus, who allowed him to leave following the signing of Cristiano Ronaldo.
Higuain has hit five goals in nine Serie A appearances and will be out to impress against his employers at San Siro on Sunday.
Emre Can remains out for Juventus as the Germany midfielder recovers from surgery on a thyroid nodule.
Milan sit fourth in the Serie A table, 10 points behind front-running Juventus after 11 rounds of fixtures.