According to one of them, the withdrawal of military personnel may be completed on Sunday.
The second source said that the small units of the National Guard would remain in Los Angeles in order to protect the city property.
Earlier, US President Donald Trump said that he had instructed to begin the withdrawal of the US National Guard forces from Washington in connection with the stabilization of the situation with the protests.
Protests in dozens of US cities began after the death of African-American George Floyd, who died in late May shortly after being detained by police. One of the group of policemen held him, pressing his neck with his knee.