Police have named the Polish man who was found dead in his make-shift home, on Saturday (31).
Investigating officers believe unemployed Janusz Krason, 36, had been in a fight with a gang of men the evening before and died of the head injuries he received.
He was discovered in a concrete garage, which he had been sleeping in with two Polish friends, in Birchen Grove, Neasden and pronounced dead at the scene.
DCI Jessica Wadsworth, leading the murder investigation, said: "On Friday he had been out with his friends and it is thought that at sometime after midnight the group were walking to their temporary home along Neasden Lane North, near to the junction with Braemar Avenue.
"We believe Mr Krason then approached a group of white men and from what we can piece together he asked them for money.
"An altercation followed and during the course of it he was assaulted. He then returned to the garage and went to sleep."
When Mr Krason woke up the following day he complained of feeling unwell but decided not to go to hospital.
His two friends then went out for the day but returned at around 9pm to find him lying dead.
Investigators believe as many as eight men could have been involved in the fight but have no clue of their age or appearance.
DCI Wandsworth added: "We are very keen to speak to anyone who saw Janusz either in the Neasden area on Friday or as he walked back to the garage along Neasden Lane North.
"All three men were bearded and members of the public must have seen them at some point during the day.
"We are also directly appealing to the men who assaulted him as they may not have realised what has happened."
Police believe Mr Krason had lived in the unused garage with the two other Poles for the past six months. They had the full consent of the building's owner and were known to the area's Safer Neighbourhoods Team, often drinking in public places, in Neasden.
Forensic officers were at the scene over the weekend and collected a number of bags of evidence.
Over the coming days, police will be in the area speaking to people and appealing for witnesses to come forward.
Anyone with information should call the incident room on 0208 358 0300 Crimestoppers on 0800 555 111.