Gardai believe the suspect in Joanne Lee's murder is in fact her estranged husband.
The body of 38-year-old Joanne was found in a wardrobe in a house on Ranelagh Road yesterday afternoon.
A man was discovered at the back of the property, suffering from injuries after jumping from a third floor balcony as police approached the scene.
The suspect, who is being treated at St. Vincent's Hospital, reportedly told Gardai he "had to kill" Ms Lee.
Speaking at a press conference today, Superintendent Gerry Delmar said the death was being treated as suspicious.
He said that the body has not yet been positively identified, but that a postmortem is taking place today.
It's believed the cause of death was asphyxiation, The Irish Independent reports.
The suspect's injuries are not thought to be life-threatening and Garda are planning to speak to him when he is discharged from hospital.
"Gardai believe that this man is Joanne's estranged husband," said Supt Delmar.