Dallison, 20, will link up with his new side until January following a six-month loan stint.
It will be the former Arsenal youngsters fourth loan move with Albion after joining in 2013.
As well as Cambridge, Dallison has had stints with Braintree, Dartford and most recently Crawley.
He played for Albion in the 4-0 pre-season victory over Crawley on Saturday, and is now eligible to feature for Shaun Derry’s side in their match at Newmarket Town on Tuesday.
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