“She’s seriously injured and has been taken to intensive care,” said police spokesperson Bengt Kihlberg to the TT news agency.
The fire broke out on the third floor the facility, located on Ormängsgatan in Hässelby, around 1.30am on Monday morning.
According to the Aftonbladet newspaper, the fire started in an apartment on the third floor, causing smoke to spread through the hallways and to the upper floors of the building.
More than 40 firefighters from six stations arrived on the scene to battle the blaze, which was extinguished by 4am.
But the firefighters’ quick work wasn’t enough to stop one panicked resident from leaping from her third floor apartment to the ground below.
A number of the building’s residents were evacuated, although there were no other reports of injuries.