Moore also said the attackers opened fire from a gray Hyundai that was passing through the neighborhood.
There was no indication Thursday's violence was connected to the procession, the Times reported.
Hussle, 33, whose real name was Ermias Joseph Asghedom, was shot and killed March 31 in front of Marathon Clothing, his Los Angeles business.
In the week leading up to Hussle's death, 11 people were killed in Los Angeles, with about half of the slayings occurring in South Los Angeles, the Times reported. All of the victims in the South L.A. killings were either black or Latino, the newspaper reported.