The 8-year-old entered the living room where the man was consuming alcohol, sitting with her older brother.
When the girl's mother left the room to settle another child, Abraham made sexual comments to the victim, telling her he would "knock her up''.
He followed that up with: "I'll slit your guts''.
The victim's brother told the girl not to listen to Abraham and by this stage her mother was listening at the doorway while hidden from view.
"I'll spread ya, I'll spread ya,'' Abraham said, before leaning back in his chair and laughing.
At that, the woman rushed into the room and yelled at the defendant.
Abraham responded by ''curling into a ball and apologising'', the court heard.
He fled the house after the victim's father became aware of the comments.
Since the incident, the girl had struggled to sleep, her mother said in a statement.
"She has become extremely upset with increased anxiety and when she hears the name 'Rob' she becomes upset, crying and begins to yell at people, telling them to shut up and not use that name,'' she said.
"Rob has soiled our family home and we will never live in that house again.''
Judge Michael Crosbie echoed the huge impact the incident had had on the family.
"They are vile, cruel and degrading comments that no young person should have to [hear] in a civilised, caring world,'' he said.
While most of Abraham's previous convictions were more than nine years ago, the judge said they were of a similar nature.
He was sentenced to 11 months' imprisonment and ordered to pay $1179 to cover the victim's father for a week off work.
