The 40-year-old man died after being stabbed at the house in The Lukes, Dudley Wood, last Monday.
Detectives are still trying to establish how the stab wound was inflicted.
A 31-year-old woman, who was known to the victim, was arrested on suspicion of murder but has been released pending further enquiries.
A spokesman for West Midlands Police said: "We’re continuing to investigate the circumstances of the death of a man found injured at a house in Netherton on 14 June.
"The 40-year-old was confirmed dead soon after we arrived at a property in The Lukes at around 1.15pm.
"A post mortem examination concluded he died of a single stab wound. Enquires into how he sustained this injury are ongoing.
"A 31-year-old woman - understood to be known to the man - was detained on suspicion of murder and has been released pending further enquiries."
A cordon was set up around the semi-detached two-storey house where the man died as police launched their investigation.
Neighbours said the people involved "kept themselves to themselves" having lived in the area for around a year.