diff --git a/docs/spec-conformance.md b/docs/spec-conformance.md
index 2eb7fc4e64b..220b7500cd7 100644
--- a/docs/spec-conformance.md
+++ b/docs/spec-conformance.md
@@ -1,6 +1,6 @@
 # Spec conformance
 
-This branch of runc implements the [OCI Runtime Spec v1.2.1](https://github.com/opencontainers/runtime-spec/tree/v1.2.1)
+This branch of runc implements the [OCI Runtime Spec v1.3.0](https://github.com/opencontainers/runtime-spec/tree/v1.3.0)
 for the `linux` platform.
 
 The following features are not implemented yet:
@@ -8,6 +8,8 @@ The following features are not implemented yet:
 Spec version | Feature                                        | PR
 -------------|------------------------------------------------|----------------------------------------------------------
 v1.1.0       | `SECCOMP_FILTER_FLAG_WAIT_KILLABLE_RECV`       | [#3862](https://github.com/opencontainers/runc/pull/3862)
+v1.3.0       | Clarified interpretation of `linux.intelRdt`   | [#3832](https://github.com/opencontainers/runc/pull/3832)
+v1.3.0       | Fail on a failure of a poststart hook.         | [#4348](https://github.com/opencontainers/runc/pull/4348)
 
 ## Architectures