OSHA: How to prevent dust dispersion at an asbestos removal site
Preventing dust dispersion is the primary means of controlling the spread of asbestos within the enclosure. Whenever practical, the point of removal should be isolated, enclosed, covered, or shielded from the workers in the area. Waste asbestos containing materials must be bagged during or immediately after removal; the material must remain saturated until the waste container is sealed.
Waste material with sharp points or corners must be placed in hard air-tight containers rather than bags.
Whenever possible, large components should be sealed in plastic sheeting and removed intact.
Bags or containers of waste will be moved to the waste holding area, washed, and wrapped in a bag with the appropriate labels.
Courtesy of OSHA

Asbestos Work Site: What to do to prevent dust dispersion