The man continued to protest his innocence, the court was told at his sentencing in the High Court today.
He was jailed for six and a half years on one charge each of wounding with reckless disregard and injuring with reckless disregard.
The girl has made a full recovery and is now living with her maternal grandmother.
Crown prosecutor Tiffany Cooper said the girl's throat quickly filled with blood after the incident and her "life was put in the balance".
"It goes without saying that at 27 days of age you are a very young baby and completely defenceless," Mrs Cooper said.
"At the time she was injured, in my submission, you couldn't have a more vulnerable victim."
Defence lawyer Kelly-Ann Stoikoff said while her client protested his innocence, he would accept the sentence imposed.
"At the jury's verdicts he was devastated. He remains so."
The man hoped to start his life again when he left jail and wanted to remain part of his daughter's life. From prison, he received regular telephone updates on her progress, Ms Stoikoff said.
Justice Graham Lang said the child was at risk of drowning in her own blood. He told the man he had abused his position as the girl's care giver.
The man's sentence was increased because of his previous assault convictions, the most serious of which resulted in a 2-1/2 year jail term.