Hey there, thanks for being there.

I have a Client/Server services originally communicating over TCP. The client periodically monitors the socket connection by reading from the socket and, in the case the connection has been lost, the client retries the connection a given amount of times, after which it realizes that the server is definitely down. 
Now I have implemented secure communication using Stunnel and everything works fine except for the fact that, whenever the server process crashes (which is eventually expected), the client is no longer able to successfully monitor the connection as expected since, no matter what happens to the server process, the local Stunnel daemon keeps listening on its local socket. So, when the client retries connection, it successfully connects to the local socket. Although it soon receives connection reset, this successful connection attempt happening even when the server process is actually down completely breaks the client logic. I could change this logic but I really would like to avoid that path. So here is my question:
Is there a way to configure Stunnel to *close* the local socket (not listening anymore) whenever the peer process (i.e. the server) has closed its socket?

Thank you very much in advance.