Don't maintain a second level of timeouts.

net/socket/ssl_client_socket_impl.cc

Index: net/socket/ssl_client_socket_impl.cc
diff --git a/net/socket/ssl_client_socket_impl.cc b/net/socket/ssl_client_socket_impl.cc
index 47a9ab81d0fb7ee647237746af28e2cdf8ccb374..bb76bf8c46d6d84f7d5ad7d48eacfe751204d151 100644
--- a/net/socket/ssl_client_socket_impl.cc
+++ b/net/socket/ssl_client_socket_impl.cc
@@ -267,6 +267,7 @@ class SSLClientSocketImpl::SSLContext {
     SSL_CTX_set_session_cache_mode(
         ssl_ctx_.get(), SSL_SESS_CACHE_CLIENT | SSL_SESS_CACHE_NO_INTERNAL);
     SSL_CTX_sess_set_new_cb(ssl_ctx_.get(), NewSessionCallback);
+    SSL_CTX_set_timeout(ssl_ctx_.get(), 1 * 60 * 60 /* one hour */);
 
     SSL_CTX_set_grease_enabled(ssl_ctx_.get(), 1);