Swedish police said they are looking for witnesses who may have seen a silver station wagon “that may be relevant to the case”.
They added officers are working “very intensively” on the investigation.
Khouri received his breakthrough in 2022, when his song Browski went viral on TikTok.
Following this, he released a full length album and accumulated more than 100 million song streams on Spotify.
Khouri was known for always wearing a balaclava and sunglasses, fully obscuring his face.
He would be the second Swedish rapper to be shot dead this year.
C.Gambino – whose real name was Karar Ramadan, not to be confused with US rapper Childish Gambino – was killed in June after being named hip-hop artist of the year at the country’s Grammy awards.
Einar, a separate award-winning Swedish rapper, was killed in a gang shooting in 2021.
In 2022, Khouri was convicted of minor drug offences. Local newspaper Norrköping Tidningar claimed last month that he had ties to a criminal gang.