HA/VRRP : Keep Master's connection after a failover

H,

For the Slave we have the possibility to ask for the connections to stay up while in Slave state.
For the Master we have the possibility to ask not to recover Master state after a failure.

I’d like to be able to configure the Master to stay as a Slave but keep its connections up. That way, Master and Slave are truly 100% identical in behavior.

Thanks !