The agency says strong winds blowing over dry terrain could rekindle smoldering embers from spring debris burns.
The fire risk is predicted for Tuesday through Thursday. Rain is expected to pass through the area Friday, reducing the risk.
DNR Wildland Fire Specialist Catherine Koele says the area has all the ingredients for fire weather - sustained winds with even stronger gusts, low humidity and warm weather.
Because of the forecast, the DNR is suspending burning permits in some west-central and south-central counties. Residents also should check with local authorities for additional burning restrictions.