Crown prosecutor Brian Costello began his closing address on Monday in the NSW Supreme Court hearing of murder accused Jesse Leigh Green.

Green is accused of killing Ms Luckwell, 22, inside her Robert Street unit in the early hours of March 28, 2018.

Mr Costello read evidence given by a Robert Street resident earlier in the hearing, who told the court a man had launched at her with a weapon and stabbed her front door just seconds after she slammed it.

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He argued the alleged incident was significant to Ms Luckwell's murder because forensic evidence from the fusebox of the woman's home placed Green in the area, around the time a piercing female scream was heard.

He said it established the accused had a "hostile" state of mind that morning and that two violent attacks so close together had to have been done by "one and the same" person.

Ms Luckwell was found in a pool of blood with stab wounds to her neck and back just inside her front door that evening.

Mr Costello submitted that if the witness had not slammed her door in time, she could have been stabbed in "close proximity" to her front door. Green is charged with the alleged incident.

The Crown case is that Green was wearing socks and thongs that morning, though Mr Costello said evidence from the witness that her alleged attacker had light joggers on could be explained by low visibility and stress.

Mr Costello combed through CCTV footage and read from transcripts of evidence during his closing address, which will continue virtually before Justice Stephen Campbell on Tuesday.

Green faces charges of murder; using an offensive weapon; and break and enter.

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