Emergency crews responded to a report of smoke coming from a suite on the fourth floor just after 4 p.m.
Upon arrival, crews confirmed that the fire had been extinguished by the sprinkler system.
But there is extensive water damage in parts of the building.
Fire officials say no one should be displaced because there are empty units that can be used to house those affected.
There is no word yet on what caused the fire and there were no reports of any injuries.