"The council will continue to work closely with Surrey Police to apply to the county court to obtain possession of the property, " said tenancy management officer Jenny Tilling.
The couple, who have two children still living at home, have begun selling assets and laying off staff and have signed a tenancy for another property in anticipation of eviction after being given a deadline of 10 January.
At present, council tenants keep their property for life unless they breach their tenancy agreement, for example, by engaging in anti-social behaviour.