diff --git a/src/mux_h1.c b/src/mux_h1.c
index 111e26295..b8977d06c 100644
--- a/src/mux_h1.c
+++ b/src/mux_h1.c
@@ -1073,7 +1073,7 @@ static size_t h1_process_headers(struct h1s *h1s, struct h1m *h1m, struct htx *h
 
   h2c_upgrade:
 	h1s->h1c->flags |= H1C_F_UPG_H2C;
-	h1s->cs->flags |= CS_FL_REOS;
+	h1s->cs->flags |= CS_FL_EOI;
 	htx->flags |= HTX_FL_UPGRADE;
 	ret = 0;
 	goto end;
@@ -1386,7 +1386,7 @@ static size_t h1_process_input(struct h1c *h1c, struct buffer *buf, int flags)
 	b_reset(&h1c->ibuf);
 	htx->flags |= HTX_FL_PARSING_ERROR;
 	htx_to_buf(htx, buf);
-	h1s->cs->flags |= CS_FL_EOS;
+	h1s->cs->flags |= CS_FL_EOI;
 	return 0;
 }
 
diff --git a/src/stream_interface.c b/src/stream_interface.c
index 22391336e..071a76536 100644
--- a/src/stream_interface.c
+++ b/src/stream_interface.c
@@ -597,7 +597,7 @@ static int si_cs_process(struct conn_stream *cs)
 	/* Report EOI on the channel if it was reached from the mux point of
 	 * view. */
 	if ((cs->flags & CS_FL_EOI) && !(ic->flags & CF_EOI))
-		ic->flags |= CF_EOI;
+		ic->flags |= (CF_EOI|CF_READ_PARTIAL);
 
 	/* Second step : update the stream-int and channels, try to forward any
 	 * pending data, then possibly wake the stream up based on the new