diff --git a/content/en/docs/concepts/containers/runtime-class.md b/content/en/docs/concepts/containers/runtime-class.md
index 8f685e35f3..c96bd7aba5 100644
--- a/content/en/docs/concepts/containers/runtime-class.md
+++ b/content/en/docs/concepts/containers/runtime-class.md
@@ -181,8 +181,8 @@ are accounted for in Kubernetes.
 ## {{% heading "whatsnext" %}}
 
 
-- [RuntimeClass Design](https://github.com/kubernetes/enhancements/blob/master/keps/sig-node/runtime-class.md)
-- [RuntimeClass Scheduling Design](https://github.com/kubernetes/enhancements/blob/master/keps/sig-node/runtime-class-scheduling.md)
+- [RuntimeClass Design](https://github.com/kubernetes/enhancements/blob/master/keps/sig-node/585-runtime-class/README.md)
+- [RuntimeClass Scheduling Design](https://github.com/kubernetes/enhancements/blob/master/keps/sig-node/585-runtime-class/README.md#runtimeclass-scheduling)
 - Read about the [Pod Overhead](/docs/concepts/configuration/pod-overhead/) concept
 - [PodOverhead Feature Design](https://github.com/kubernetes/enhancements/blob/master/keps/sig-node/20190226-pod-overhead.md)