They say final collections will be June 15.
The NCDOT is collecting trees and limbs, as well as building materials, but say they must be separated into two piles.
Crews are asking residents to cut storm-related debris into five or six-foot pieces, if possible, and place it along the roadway for pickup.
Major appliances, hazardous materials such as paint, propane tanks, and other similar materials will not be collected, but furniture is being accepted.
Residents who are able to handle the vegetation debris disposal themselves can still use Wake County's convenience centers, which are open seven days a week, to drop off storm debris.
Those who need to dispose of hazardous household materials can take them to Wake County multi-material facilities.
Officials also point out that people who live on private roads or in subdivisions in the unincorporated areas are also able to have their debris picked up by Wake County.
For information about tornado relief assistance, visit Wake County's website.