Asbestos Illegal in Garbage or Drains Hazardous Waste Stockton residents can bring asbestos to the following location: San Joaquin County Household Hazardous Waste Facility7850 R.A. Bridgeford StreetStockton, CA 95206(209) 468-3066 Map & Directions Harmful When It's Worn Down Damaged asbestos may release harmful fibers. If the asbestos fibers are torn or have abrasions or water damage, call a professional to remove the material. Find out how to stay safe. Let Professionals Remove It Don’t disturb or attempt to remove asbestos on your own. Allow only a trained and accredited asbestos professional to remove them. Keep Children Away Avoid spending time in a room that contains damaged asbestos. Clear children and pets from the room to keep them safe from asbestos fibers.