diff --git a/src/mux_pt.c b/src/mux_pt.c
index 86a1f2362..4895c1780 100644
--- a/src/mux_pt.c
+++ b/src/mux_pt.c
@@ -557,6 +557,8 @@ static size_t mux_pt_snd_buf(struct stconn *sc, struct buffer *buf, size_t count
 		b_del(buf, ret);
 
 	if (conn->flags & CO_FL_ERROR) {
+		if (conn_xprt_read0_pending(conn))
+			se_fl_set(ctx->sd, SE_FL_EOS);
 		se_fl_set_error(ctx->sd);
 		TRACE_DEVEL("error on connection", PT_EV_TX_DATA|PT_EV_CONN_ERR, conn, sc);
 	}
@@ -625,6 +627,8 @@ static int mux_pt_snd_pipe(struct stconn *sc, struct pipe *pipe)
 	ret = conn->xprt->snd_pipe(conn, conn->xprt_ctx, pipe);
 
 	if (conn->flags & CO_FL_ERROR) {
+		if (conn_xprt_read0_pending(conn))
+			se_fl_set(ctx->sd, SE_FL_EOS);
 		se_fl_set_error(ctx->sd);
 		TRACE_DEVEL("error on connection", PT_EV_TX_DATA|PT_EV_CONN_ERR, conn, sc);
 	}