diff --git a/include/haproxy/mux_quic-t.h b/include/haproxy/mux_quic-t.h
index fca28f7fa..40f784c31 100644
--- a/include/haproxy/mux_quic-t.h
+++ b/include/haproxy/mux_quic-t.h
@@ -100,6 +100,7 @@ struct qcc {
 #define QC_SF_DETACH            0x00000008  /* cs is detached but there is remaining data to send */
 #define QC_SF_BLK_SFCTL         0x00000010  /* stream blocked due to stream flow control limit */
 #define QC_SF_DEM_FULL          0x00000020  /* demux blocked on request channel buffer full */
+#define QC_SF_READ_ABORTED      0x00000040  /* stream rejected by app layer */
 
 struct qcs {
 	struct qcc *qcc;
diff --git a/src/h3.c b/src/h3.c
index a792851ab..3fb6942b8 100644
--- a/src/h3.c
+++ b/src/h3.c
@@ -144,8 +144,13 @@ static int h3_init_uni_stream(struct h3c *h3c, struct qcs *qcs,
 		break;
 
 	default:
-		h3s->flags |= H3_SF_UNI_NO_H3;
-		break;
+		/* draft-ietf-quic-http34 9. Extensions to HTTP/3
+		 *
+		 * Implementations MUST [...] abort reading on unidirectional
+		 * streams that have unknown or unsupported types.
+		 */
+		qcs->flags |= QC_SF_READ_ABORTED;
+		return 1;
 	};
 
 	h3s->flags |= H3_SF_UNI_INIT;
@@ -175,10 +180,10 @@ static int h3_parse_uni_stream_no_h3(struct qcs *qcs, struct ncbuf *rxbuf)
 		if (!qpack_decode_enc(qcs, NULL))
 			return 1;
 		break;
+	case H3S_T_UNKNOWN:
 	default:
-		/* unknown uni stream : just consume it. */
-		qcs_consume(qcs, ncb_data(rxbuf, 0));
-		break;
+		/* Unknown stream should be flagged with QC_SF_READ_ABORTED. */
+		ABORT_NOW();
 	}
 
 	return 0;
diff --git a/src/mux_quic.c b/src/mux_quic.c
index c47e83a2c..b7d1e17f4 100644
--- a/src/mux_quic.c
+++ b/src/mux_quic.c
@@ -584,6 +584,11 @@ int qcc_recv(struct qcc *qcc, uint64_t id, uint64_t len, uint64_t offset,
 	if (ncb_data(&qcs->rx.ncbuf, 0) && !(qcs->flags & QC_SF_DEM_FULL))
 		qcc_decode_qcs(qcc, qcs);
 
+	if (qcs->flags & QC_SF_READ_ABORTED) {
+		/* TODO should send a STOP_SENDING */
+		qcs_free(qcs);
+	}
+
 	TRACE_LEAVE(QMUX_EV_QCC_RECV, qcc->conn);
 	return 0;
 }
@@ -1192,6 +1197,11 @@ static int qc_recv(struct qcc *qcc)
 
 		qcc_decode_qcs(qcc, qcs);
 		node = eb64_next(node);
+
+		if (qcs->flags & QC_SF_READ_ABORTED) {
+			/* TODO should send a STOP_SENDING */
+			qcs_free(qcs);
+		}
 	}
 
 	TRACE_LEAVE(QMUX_EV_QCC_RECV);