MP Jessica Toale says The Roundhouse in Bournemouth will shut to asylum seekers by October.
Mark Pritchard and Stoke Heath residents opposed plans to house up to 83 asylum seekers.
Government stats show hundreds of the county's corner shops, mini-marts and cafes hold such licences.
Residents of Linton-on-Ouse say plans to house asylum seekers are "unworkable and very worrying".
A meeting on Thursday night near Stoke Heath drew more than 100 people.
The National Police Chiefs' Council says said the five-day operation led to hundreds of arrests and seizures of more than £1m in cash.
David Skaith says the former RAF Linton-on-Ouse should be used for a "housing-led redevelopment".
A new development in Stoke Heath, Shropshire, is earmarked to home 83 asylum seekers.
The Home Office says a site in Bicester to house asylum seekers would provide accommodation for single adult males.
