The family of the father-of-two say they will hold a massive hunt around his home in Yew Tree Farm in Chorley, near Bridgnorth, this weekend.
Now West Mercia Police's search and rescue team say they will join the operation at 11am on Saturday. Mr Green, 33, was last seen on June 22 at about 8.50pm.
West Mercia Search and Rescue said it will be providing support and has released search advice for the public. A spokesman said: "Physical searching can be a dangerous activity for untrained persons.
"The urge to find someone and make a difference can lead to increased risk-taking, so this advice is aimed at anyone taking part in a public search to help reduce that risk.
"We recommend that searching of any off-road terrain is left to professional teams. Do not search any land without permission of the land owner, unless you are on a public right of way.
"Slips, trips and slides in to water are life-threatening, even shallow water, so stay well away from any water course. It is crucial to keep a record of who is searching, where they are going, and contact details."