The Greening the UK model motion, which urges councils to increase the soft landscaping required in developments and put more emphasis on using enforcement to crack down on developers not meeting the standards, has so far been sent to 373 councils across the country.
Seven councils are set to bring the model motion to their full council meetings for decision on adoption within the next two months, and a further 21 are involved in discussion with their officers and political groups.
West Sussex County Council is set to bring the motion to full council on 18 April, while Canterbury City Council, in Kent, has laid the motion for decision on 24 April.
Greening the UK campaign organiser Mark Glover said: "It's a reasonable hit as these are quite big places, and there are large parts of the South West covered."
Other local authorities that will bring the motion to full council are Boston Borough Council, Crawley Borough Council, North Cornwall District Council, Dover District Council and Devon County Council.
Devon County Council's executive member for the environment Margaret Rogers said: "We have ambitions to be the greenest county and we take many steps to support green issues so we hope we'll bring the motion to the executive in the next couple of months."
The model motion has also received fairly strong backing in Parliament, after it was laid as an Early Day Motion by Brian Donohoe MP on 29 January.
A total of 59 MPs, including Vince Cable, John Spellar, Brian Jenkins, David Marshall and Andrew Dismore, signed the motion showing their support for the campaign.