A sublease is an agreement where someone takes over part or all of an existing lease. This type of lease involves at least three parties.Applicants must submit one (1) original and two (2) copies of the Residential Lease Agreement with the Moving packet. To change the lease terms in the middle of your lease, you must receive consent from the landlord. Landlord, at the request of a Tenant or a. Subtenant, shall enter into non-disturbance and attornment agreements with one or more. The Austin Tenants Council provides telephone counseling, mediation services, in-house counseling, housing discrimination assistance, and lease forms. Unless the lease agreement says otherwise, the landlord must give the tenant at least 3 days to move out. Sublease, without the express, written permission of Sublandlord and Master Lease Landlord. A Texas sublease agreement defines the terms that allow a subtenant to move into an alreadyleased rental unit.