diff --git a/src/mux_h1.c b/src/mux_h1.c
index 4df1289ea..56937391f 100644
--- a/src/mux_h1.c
+++ b/src/mux_h1.c
@@ -1538,6 +1538,10 @@ static size_t h1_process_output(struct h1c *h1c, struct buffer *buf, size_t coun
 
 				if (isteqi(n, ist("transfer-encoding")))
 					h1_parse_xfer_enc_header(h1m, v);
+				else if (isteqi(n, ist("content-length"))) {
+					if (h1_parse_cont_len_header(h1m, &v) <= 0)
+						goto skip_hdr;
+				}
 				else if (isteqi(n, ist("connection"))) {
 					h1_parse_connection_header(h1m, v);
 					h1_process_conn_mode(h1s, h1m, NULL, &v);