Seven people and one police officer were injured in the highrise building in the city's West End during the attack last Thursday night.
Sgt. Randy Fincham says the woman, who was not identified, was moved from critical condition to serious condition and continues to be monitored by medical officials.
He declined to say where the victim sustained her stabbing injuries and says investigators are still trying to determine if the woman knew the accused.
Jerome Bonneric has been charged with four counts of aggravated assault, four counts of assault with a weapon, three counts of common assault and one count of assaulting a police officer.
The 33-year-old appeared in provincial court earlier this week and is expected to undergo a psychiatric assessment.
"For investigative reasons, I'm not able to release where her injuries were unfortunately," said Fincham.
"But, yeah, she did have very serious, significant injuries that required significant medical attention in the hospital."