Olsson left the squad on Saturday evening but was expected to return in time for Sweden's final Group D game against France on Tuesday, Swedish FA spokesman Jonas Nystedt said.
The centre back started in Friday's 3-2 defeat by England that ended Sweden's hopes of reaching the quarter-finals.
"We didn't want to release a statement as it was a private, family matter, but Jonas is due back (for the France game)," Nystedt said at Sweden's media centre on the outskirts of Kiev.
Although the Swedes have no chance of progressing after losing their first two games, they could still have an influence on which teams go through if they beat France.
England play Ukraine in the other Group D game.