The 38-year-old must self-isolate after seeing it revealed that he is a carrier of the coronavirus.
The enigmatic Swedish striker is the only member of the playing and coaching staff at San Siro to have posted a positive test.
An enforced break means that Ibrahimovic will play no part in Milan's upcoming fixtures.
A statement from the
The club has informed the relevant authorities, and the player has been promptly placed in quarantine at home.
"All other team members and staff have tested negative."
Ibrahimovic has enjoyed a productive opening to the 2020-21 campaign for Milan.
He has taken in two appearances so far, with three goals recorded across those outings.