Dalcourt, 23, was walking on a bike path in an Old Longueuil park last week when she was attacked and beaten with a blunt object. She died a short time later in hospital.
A 26-year-old suspect arrested by police Saturday was released Monday at the request of the Crown prosecutor.
"Yesterday, the prosecutors felt that some elements were missing, notably the results of the forensic tests that we are still waiting on," Const. Tommy Lacroix told Radio-Canada Tuesday.
"It's possible that [the test results] will change the course of the investigation, but the investigation is not starting at zero this morning."
Police would not confirm whether Dalcourt had been sexually assaulted. The prosecution is waiting on lab results to make that determination.
Investigators also have not said if any relationship existed between the victim and the man who was considered a suspect.
The young woman was found late Tuesday night along the bike path that runs through Paul Pratt Park.
People are expected to gather in Longueuil this evening for a five-kilometre walk to remember the 23-year-old.