diff --git a/src/mux_h1.c b/src/mux_h1.c
index cc3773f..50871e9 100644
--- a/src/mux_h1.c
+++ b/src/mux_h1.c
@@ -1540,7 +1540,8 @@
 
 	if (!b_data(&h1c->ibuf))
 		h1_release_buf(h1c, &h1c->ibuf);
-	else if (h1s_data_pending(h1s) && !htx_is_empty(htx))
+
+	if ((h1s_data_pending(h1s) && !htx_is_empty(htx)) || (h1s->flags & H1S_F_APPEND_EOM))
 		h1s->cs->flags |= CS_FL_RCV_MORE | CS_FL_WANT_ROOM;
 
 	if (((h1s->flags & (H1S_F_REOS|H1S_F_APPEND_EOM)) == H1S_F_REOS) &&