diff --git a/src/aioquic/quic/connection.py b/src/aioquic/quic/connection.py
index 4f8d1dcd0..86babad3a 100644
--- a/src/aioquic/quic/connection.py
+++ b/src/aioquic/quic/connection.py
@@ -2181,7 +2181,10 @@ def _serialize_transport_parameters(self) -> bytes:
             if self._configuration.quantum_readiness_test
             else None,
         )
-        if not self._is_client:
+        if not self._is_client and (
+            self._version >= QuicProtocolVersion.DRAFT_28
+            or self._retry_source_connection_id
+        ):
             quic_transport_parameters.original_destination_connection_id = (
                 self._original_destination_connection_id
             )