The Paris Saint-Germain striker has missed his club's last four matches, including the 3-2 Champions League win over Barcelona, and Sweden's 1-1 draw with Russia .
"Unfortunately, we can't count on Zlatan Ibrahimovic. His injury is stopping him from playing but he will be on the bench with the rest of the team," the Swedish football federation said.
Goalkeeper Andreas Isaksson will captain the side in Ibrahimovic's absence.
Sweden kicked off their Euro 2016 qualifying Group G with a 1-1 draw in Austria last month before draw with Russia.