The report by LAUSD's Office of Environmental Health and Safety says affected schools in Boyle Heights and neighboring communities are "safe for occupancy."
According to the report, smoke, odor and other impacts were detected at schools following the warehouse fire.
However, the data suggests there is no widespread contamination that requires "region-wide remediation" and that the campuses do not pose a health hazard for the children or staff.
Lineage said about 90% of the food waste at the burned warehouse has been removed.
Lineage has set a goal of completing bulk food waste removal from the site this week, according to a statement it issued Monday. Cleanup began July 7.
The fire broke out June 17 at the warehouse at 1400 S. Los Palos St., sending thick smoke into the air and prompting officials to warn nearby residents to remain indoors. The city, county and state issued local emergency declarations in the days that followed. It took more than a week to fully douse the fire.
City News Service contributed to this story.