Deposit Prescribed Information and Change of Agent

About an assured shorthold tenancy in connection with which the fixed term has ended with the tenancy then having become a periodic monthly tenancy if there is subsequently a change in the identity of the landlord's agent, even if the actual landlord and tenant remain the same, and if the original tenancy deposit certificate and prescribed information given to detail the previous original agent, is it a requirement, or at least prudent, to re-serve prescribed information detailing the new agent before service of a section 21 notice?

(Since a change of agent, there is a new TDS certificate following the actual transfer of the deposit, which has been given to the tenant and which provides detail of the new agent, but the actual prescribed information served at the outset of the tenancy provides the then agent's details, and about the landlord, only the landlord's name care of that previous agent's address)