diff --git a/include/types/connection.h b/include/types/connection.h
index f8e526ac4..5341a86d6 100644
--- a/include/types/connection.h
+++ b/include/types/connection.h
@@ -180,6 +180,7 @@ enum {
 /* flags that can be passed to xprt->snd_buf() */
 enum {
 	CO_SFL_MSG_MORE    = 0x0001,    /* More data to come afterwards */
+	CO_SFL_STREAMER    = 0x0002,    /* Producer is continuously streaming data */
 };
 
 /* xprt_ops describes transport-layer operations for a connection. They
diff --git a/src/ssl_sock.c b/src/ssl_sock.c
index 19505e5ee..5ac2b0653 100644
--- a/src/ssl_sock.c
+++ b/src/ssl_sock.c
@@ -1528,7 +1528,8 @@ static int ssl_sock_from_buf(struct connection *conn, struct buffer *buf, int fl
 	while (buf->o) {
 		try = bo_contig_data(buf);
 
-		if (global.tune.ssl_max_record && try > global.tune.ssl_max_record)
+		if (!(flags & CO_SFL_STREAMER) &&
+		    global.tune.ssl_max_record && try > global.tune.ssl_max_record)
 			try = global.tune.ssl_max_record;
 
 		ret = SSL_write(conn->xprt_ctx, bo_ptr(buf), try);
diff --git a/src/stream_interface.c b/src/stream_interface.c
index 967f6451c..b3364a3a9 100644
--- a/src/stream_interface.c
+++ b/src/stream_interface.c
@@ -701,6 +701,9 @@ static void si_conn_send(struct connection *conn)
 		    ((chn->flags & (CF_SHUTW|CF_SHUTW_NOW)) == CF_SHUTW_NOW))
 			send_flag |= CO_SFL_MSG_MORE;
 
+		if (chn->flags & CF_STREAMER)
+			send_flag |= CO_SFL_STREAMER;
+
 		ret = conn->xprt->snd_buf(conn, chn->buf, send_flag);
 		if (ret > 0) {
 			chn->flags |= CF_WRITE_PARTIAL;