U.S. Department of Labor Occupational Safety and Health Administration
Are employers required to provide protective clothing for workers?
Yes. For any employee exposed to airborne concentrations of asbestos that exceed a PEL, you must provide and require the use of protective clothing such as coveralls or similar full-body clothing, head coverings, gloves, and foot coverings.
You must provide face shields, vented goggles, or other appropriate protective equipment wherever the possibility of eye irritation exists and require workers to wear them.
Courtesy of U.S. Department of Labor Occupational Safety and Health Administration

The OSHA standards for asbestos employee training