diff --git a/client_server_test.go b/client_server_test.go
index 5fd2c85..116b043 100644
--- a/client_server_test.go
+++ b/client_server_test.go
@@ -185,6 +185,47 @@ func TestProxyDial(t *testing.T) {
 	sendRecv(t, ws)
 }
 
+func TestHttpsProxy(t *testing.T) {
+
+	sTLS := newTLSServer(t)
+	defer sTLS.Close()
+	s := newServer(t)
+	defer s.Close()
+
+	surlTLS, _ := url.Parse(sTLS.Server.URL)
+
+	cstDialer := cstDialer // make local copy for modification on next line.
+	cstDialer.Proxy = http.ProxyURL(surlTLS)
+
+	connect := false
+	origHandler := sTLS.Server.Config.Handler
+
+	// Capture the request Host header.
+	sTLS.Server.Config.Handler = http.HandlerFunc(
+		func(w http.ResponseWriter, r *http.Request) {
+			if r.Method == "CONNECT" {
+				connect = true
+				w.WriteHeader(http.StatusOK)
+				return
+			}
+
+			if !connect {
+				t.Log("connect not received")
+				http.Error(w, "connect not received", http.StatusMethodNotAllowed)
+				return
+			}
+			origHandler.ServeHTTP(w, r)
+		})
+
+	cstDialer.TLSClientConfig = &tls.Config{RootCAs: rootCAs(t, sTLS.Server)}
+	ws, _, err := cstDialer.Dial(s.URL, nil)
+	if err != nil {
+		t.Fatalf("Dial: %v", err)
+	}
+	defer ws.Close()
+	sendRecv(t, ws)
+}
+
 func TestProxyAuthorizationDial(t *testing.T) {
 	s := newServer(t)
 	defer s.Close()