diff --git a/include/haproxy/conn_stream.h b/include/haproxy/conn_stream.h
index 112b27e2a..e3d2b71f7 100644
--- a/include/haproxy/conn_stream.h
+++ b/include/haproxy/conn_stream.h
@@ -283,25 +283,6 @@ static inline void cs_ep_set_error(struct sedesc *endp)
 		se_fl_set(endp, SE_FL_ERR_PENDING);
 }
 
-/* Retrieves any valid stream connector from this connection, preferably the first
- * valid one. The purpose is to be able to figure one other end of a private
- * connection for purposes like source binding or proxy protocol header
- * emission. In such cases, any stream connector is expected to be valid so the
- * mux is encouraged to return the first one it finds. If the connection has
- * no mux or the mux has no get_first_cs() method or the mux has no valid
- * stream connector, NULL is returned. The output pointer is purposely marked
- * const to discourage the caller from modifying anything there.
- */
-static inline struct stconn *cs_conn_get_first(const struct connection *conn)
-{
-	BUG_ON(!conn || !conn->mux);
-
-	if (!conn->mux->get_first_cs)
-		return NULL;
-	return conn->mux->get_first_cs(conn);
-}
-
-
 /* Returns non-zero if the stream connector's Rx path is blocked */
 static inline int cs_rx_blocked(const struct stconn *cs)
 {
diff --git a/include/haproxy/connection.h b/include/haproxy/connection.h
index 30e689e15..34d3f70d7 100644
--- a/include/haproxy/connection.h
+++ b/include/haproxy/connection.h
@@ -493,6 +493,24 @@ static inline int conn_install_mux(struct connection *conn, const struct mux_ops
 	return ret;
 }
 
+/* Retrieves any valid stream connector from this connection, preferably the first
+ * valid one. The purpose is to be able to figure one other end of a private
+ * connection for purposes like source binding or proxy protocol header
+ * emission. In such cases, any stream connector is expected to be valid so the
+ * mux is encouraged to return the first one it finds. If the connection has
+ * no mux or the mux has no get_first_cs() method or the mux has no valid
+ * stream connector, NULL is returned. The output pointer is purposely marked
+ * const to discourage the caller from modifying anything there.
+ */
+static inline struct stconn *conn_get_first_sc(const struct connection *conn)
+{
+	BUG_ON(!conn || !conn->mux);
+
+	if (!conn->mux->get_first_cs)
+		return NULL;
+	return conn->mux->get_first_cs(conn);
+}
+
 int conn_update_alpn(struct connection *conn, const struct ist alpn, int force);
 
 static inline const char *conn_get_ctrl_name(const struct connection *conn)
diff --git a/src/connection.c b/src/connection.c
index f3775e85f..7ba4b17cd 100644
--- a/src/connection.c
+++ b/src/connection.c
@@ -1176,7 +1176,7 @@ int conn_send_proxy(struct connection *conn, unsigned int flag)
 		/* If there is no mux attached to the connection, it means the
 		 * connection context is a stream connector.
 		 */
-		cs = (conn->mux ? cs_conn_get_first(conn) : conn->ctx);
+		cs = conn->mux ? conn_get_first_sc(conn) : conn->ctx;
 
 		/* The target server expects a PROXY line to be sent first.
 		 * If the send_proxy_ofs is negative, it corresponds to the