The reintroduction came after the government’s decision to allow wild populations return to England’s rivers and wetlands.
Dorset Wildlife Trust introduced an adult pair of beavers into an enclosed site in west Dorset in February 2021, as part of a scientific study.
In October 2022, the animals were recognised as a resident native species in England once again.
Natural England is now moving away from enclosed projects and is issuing licenses for wild beaver release.
The trust said “help is needed” to restore beaver populations, adding that a key part of their reintroduction was the “vital importance of creating a genetically viable population that is robust and adaptable to climate change and disease”.
A public consultation on the trust’s proposal has been opened and will run until 31 May.