diff --git a/session.go b/session.go
index 4ad24df72..07209b752 100644
--- a/session.go
+++ b/session.go
@@ -1115,7 +1115,12 @@ func (s *session) processTransportParametersForClient(data []byte) (*handshake.T
 	if !params.OriginalConnectionID.Equal(s.origDestConnID) {
 		return nil, qerr.Error(qerr.TransportParameterError, fmt.Sprintf("expected original_connection_id to equal %s, is %s", s.origDestConnID, params.OriginalConnectionID))
 	}
-
+	// We don't support connection migration yet, so we don't have any use for the preferred_address.
+	if params.PreferredAddress != nil {
+		s.logger.Debugf("Server sent preferred_address. Retiring the preferred_address connection ID.")
+		// Retire the connection ID.
+		s.framer.QueueControlFrame(&wire.RetireConnectionIDFrame{SequenceNumber: 1})
+	}
 	return params, nil
 }
 
diff --git a/session_test.go b/session_test.go
index a12703d32..09d3c686f 100644
--- a/session_test.go
+++ b/session_test.go
@@ -1797,6 +1797,37 @@ var _ = Describe("Client Session", func() {
 			Eventually(sess.Context().Done()).Should(BeClosed())
 		})
 
+		It("immediately retires the preferred_address connection ID", func() {
+			go func() {
+				defer GinkgoRecover()
+				cryptoSetup.EXPECT().RunHandshake().MaxTimes(1)
+				sess.run()
+			}()
+			params := &handshake.TransportParameters{
+				PreferredAddress: &handshake.PreferredAddress{
+					IPv4:         net.IPv4(127, 0, 0, 1),
+					IPv6:         net.IP{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
+					ConnectionID: protocol.ConnectionID{1, 2, 3, 4},
+				},
+			}
+			packer.EXPECT().HandleTransportParameters(gomock.Any())
+			packer.EXPECT().PackPacket().MaxTimes(1)
+			sess.processTransportParameters(params.Marshal())
+			cf, _ := sess.framer.AppendControlFrames(nil, protocol.MaxByteCount)
+			Expect(cf).To(HaveLen(1))
+			Expect(cf[0].Frame).To(Equal(&wire.RetireConnectionIDFrame{SequenceNumber: 1}))
+
+			// make the go routine return
+			sessionRunner.EXPECT().ReplaceWithClosed(gomock.Any(), gomock.Any()).Do(func(_ protocol.ConnectionID, s packetHandler) {
+				Expect(s).To(BeAssignableToTypeOf(&closedLocalSession{}))
+				Expect(s.Close()).To(Succeed())
+			})
+			packer.EXPECT().PackConnectionClose(gomock.Any()).Return(&packedPacket{}, nil)
+			cryptoSetup.EXPECT().Close()
+			sess.Close()
+			Eventually(sess.Context().Done()).Should(BeClosed())
+		})
+
 		It("errors if the TransportParameters contain an original_connection_id, although no Retry was performed", func() {
 			params := &handshake.TransportParameters{
 				OriginalConnectionID: protocol.ConnectionID{0xde, 0xca, 0xfb, 0xad},