The government proposal was first announced in October.
Wealden District Council, the local authority, previously passed a motion formally opposing it and said it had served a planning contravention notice against the Home Office.
In a statement, the Home Office said it did not want to replicate the mistakes of the past, “where rushed plans have led to unsafe and chaotic situations that impacts the local community”.
A spokesperson added: “We are furious at the level of illegal migrants and asylum hotels.
“Moving to large military sites is an important part of our reforms to tackle illegal migration and the pull factors that make the UK an attractive destination.”