diff --git a/src/mux_h1.c b/src/mux_h1.c
index defcada21..d68582a97 100644
--- a/src/mux_h1.c
+++ b/src/mux_h1.c
@@ -527,7 +527,8 @@ static inline int h1_recv_allowed(const struct h1c *h1c)
 		return 0;
 	}
 
-	if (h1c->conn->flags & (CO_FL_WAIT_L4_CONN|CO_FL_WAIT_L6_CONN)) {
+	if (h1c->conn->flags & (CO_FL_WAIT_L4_CONN|CO_FL_WAIT_L6_CONN) &&
+	    !(h1c->conn->flags & CO_FL_EARLY_DATA)) {
 		TRACE_DEVEL("recv not allowed because of (waitl4|waitl6) on connection", H1_EV_H1C_RECV|H1_EV_H1C_BLK, h1c->conn);
 		return 0;
 	}