The 25-year-old returns to the Hammers from Southern Premier Division South neighbours Poole Town, having spent part of last season on loan at the Sunseeker International County Ground.
He has now signed a contract which will see him move across to the Hammers permanently for the 2023/24 season.
Wright re-signed for the Dolphins in July 2020 from league rivals Dorchester Town.
He had joined the Magpies from then-Wessex League side Hamworthy in May 2019.
Most clubs are looking for volunteers. Find out more on the button below:
www.PitchingInVolunteers.co.ukAll the news and results in one place.
REGISTER