Julian Thomson admitted he was angry at the baby's mother when he shook four-month-old daughter Zaria McCall, hitting her head on an exersaucer baby toy and throwing her to the floor.
She died of blunt force trauma to the head. A CT scan revealed three separate skull fractures.
Crown prosecutor Jason Snider is seeking a five-year sentence while the defence has asked for a four-and-a-half year term.
A decision is expected to be handed down Tuesday morning.
Snider says the Crown doesn't believe that Thomson intended to hurt his daughter but lost his temper and committed "a violent and unspeakable act."