Officers were called to a property in Glen Park Avenue off Groby Road this morning (Thursday 8th April).
East Midlands Ambulance Service reported the death of an infant at the property.
A 33-year-old man has been released on bail after he was arrested in connection with the incident.
Police are treating the cause of the infant’s death as unexplained and the investigation is, 'very much' in its early stages.
Enquiries are ongoing to determine the circumstances.
Detective Inspector Henry Henderson said: “This is an extremely sad incident involving the death of an infant at a property.
“Our officers remain in the area carrying out full enquiries to establish the full circumstances of this incident.
As part of our initial enquiries, a man has been arrested in connection with the incident and currently remains in police custody.
“Our investigation remains at a very early stage at this time.”