Contractors will begin by preparing the area and carrying out final checks, which include wildlife surveys and safely moving fish.
New ponds will be created while parts of the brook will be widened and some of the channels reshaped to allow the water to flow “in a more natural way”, the trust said.
Some trees would need to be removed to allow access for machinery and the organisation said they would keep as many as possible, while those removed would be reused to create habitats for wildlife.
Ecologists will be on site to check for any protected species, including birds and bats, before any of the trees are cut down.
The project would begin in the northern part of the brook and move south, which the trust said would help teams manage water flow and protect wildlife.
“Careful planning and flood modelling have been carried out to make sure the work will not increase flood risk to nearby homes,” a spokesperson added.
“The changes will help the brook function more naturally and support a healthier environment in the long term.”