The attacker will undergo a medical exam on Tuesday to determine the extent of the injury, the club said.
Serie A has been suspended since March 9 due to a coronavirus pandemic. The league hopes to resume on June 13 if the government approves.
Ibrahimovic, 38, rejoined Milan in December on a six-month contract with options for next season.
During a virus lockdown in Italy, Ibrahimovic trained with the Swedish club Hammarby, where he was part of the owner.
Ibrahimovic has scored three goals in eight Serie A matches with Milan this season. He also played for Milan from 2010-12.
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