Python: socket programming reduces connections to the server from several clients

I want to reduce the amount of connectivity to the server, suppose I have a number of clients and 1 server and after looking at the server I can request from a number of clients to a single server, but right now I need a unique connection to my server. introduce a proxy server within the clients and the server, that proxy will handle all requests by communicating with the server through a single connection, so in this scenario there will be a number of connectivity from a client number to the proxy , but there should be only one connectivity from the proxy to the server, how is that possible?