Cannock Chase Council said it was consulting with experts about the potential impact of asbestos in the smoke.
Residents have complained about having to keep their doors and windows closed in order to keep out the fumes.
Deputy chief fire officer Rob Barber said: "We can confirm that a small amount of boarding was found at the site and tests have identified it as cement asbestos boarding.
"We are currently reviewing operational tactics and we will continue to work closely with our partners at Public Health England and the Environment Agency to monitor and assess the situation."
Public Health England has advised residents to keep windows and doors closed.
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